{"id":5686,"date":"2013-03-22T15:51:55","date_gmt":"2013-03-22T11:51:55","guid":{"rendered":"http:\/\/ellphi.lebedev.ru\/?p=5686"},"modified":"2013-04-05T17:19:03","modified_gmt":"2013-04-05T13:19:03","slug":"1977-en","status":"publish","type":"post","link":"http:\/\/preprints.lebedev.ru\/?p=5686","title":{"rendered":"1977 En"},"content":{"rendered":"

S.I. Syrovatskii<\/em> ,
\n \u2116 2a <\/strong> THE COHREKT SHEET FORMATION AND RUPTURE NEAR THE MAGHETIC ZERO LOTS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

S.I. Syrovatskii<\/em> ,
\n \u2116 7 <\/strong> ON THE POSSIBILITIES TO OBSERVES PREFLARE CURRENT SHEETS ON THE SUN
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

We discuss the possible ways of early search for current sheets on the sun with the purpose to forecast the probability of occurrence, the total energy and the power of solar flares. The data on current sheets can be obtained by observations of magnetic fields ultraviolet lines and microwave emission. ---------------------------<\/div>\n<\/p>\n

Yu.. Danileiko<\/em> , A.. Epifanov<\/em> , T.. Lebedeva<\/em> , V.. Manenkov<\/em> , A.. Sidorin<\/em> ,
\n \u2116 10 <\/strong> EXCITATION OF NONEQUILIBRIUN CARRIERS IN GERMANIUM AND SILCIUM BY CO2-LASBR RADIATION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

V.P. Frolov<\/em> , I.V. Volovich<\/em> , V.A. Zagrebnov<\/em> ,
\n \u2116 13b <\/strong> \u041eN A MEW DEFINITION OF A VACUUM-STATE IM A GRAVITATIONAL PIBBDI VACUUM
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

A new definition of a vacuum-state in gravitational field ( vacuum) based on affine properties of the null surfaces is proposed. It allows UB to define a vacuum for curved spaces without any symmetry. A connection of our definition with the algebraic properties of the gravitational field is discussed. We apply the vacuum conception to the problem of localizing the particle creation process for the black holes quantum evaporation phenomena. ---------------------------<\/div>\n<\/p>\n

V.P. Frolov<\/em> , D.M. Gitman<\/em> ,
\n \u2116 15a <\/strong> DENSITY MATRIX IM QUANTUM ELEKTRODYNAMICS, EQIVALENCE PRINCIPLE AMD HAWKING EPPECT
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The expression for the density matrix describing particles of one sort (electrons or positrons) created by an external electromagnetic field from the vacuum is obtained. The explicit form of the density matrix is found for the case of constant and uniform electric field. The arguments are given in favour of the presence of connection between thermal nature of the density matrix describing particles created by the gravitational field of a black hole and the equivalence principle. ---------------------------<\/div>\n<\/p>\n

O.K. Kalashnikov<\/em> ,
\n \u2116 17 <\/strong> ASYMPTOTICALLY FREE SU(2)X SU(2)XSU(4) MODEL OF UNIFPIED INTERACTION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

An asymptotically free SU(2)xSU(2)xSU(4) model of unified interaction is constracted. The gauge coupling constants are taken equal (in the order of magnitude) to the electromagnetic one. The strong interaction and the quark confinement is provided by gluonic mechanism. Some physical consequences of the model, are briefl\u0443 discussed. ---------------------------<\/div>\n<\/p>\n

I.M. Dremin<\/em> ,
\n \u2116 18 <\/strong> CLUSTERS IN MULTIPLE PRODUCTION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The history of the clusterization idea and methods of cluster detection are reviewed. The present experimental data indicate that clusters are heavier than wall-known two-particle resonances. Therefore it is argued that they are composed of those resonances and fireballs. The theoretical approaches to understanding this phenomenon are briefly considered. ---------------------------<\/div>\n<\/p>\n

K.. Goetz<\/em> , Yu.A. Mikhailov<\/em> , S.A. Pikuz<\/em> , G.V. Sklizkov<\/em> , A.Ya. Faenov<\/em> , S.I. Fedotov<\/em> , E.. Forster<\/em> ,
\n \u2116 19a <\/strong> APPLICATION OF HIGH-QUALITY QUARTZ AND SILICON CRY8TALS FOR X-RAY SPECTRAL DIAGNOSTICS OF LASER PLASMA
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Investigation results of high-quality quartz (IOIO) and silicon (III) crystals with the reflection curve a halfwidth ~10-4 are reported. By using these crystals the spectra of multi-charged ions are obtained. Laser plasma is produced by irradiating Al,Si,P and S targets by the radiation with flux density up to 1O14 W\/cm2 . Various aspects of using high-quality crystals in laser plasma diagnostics are discussed: obtaining of high spectral resolution \u226410-4 and two-dimentional space resolution ro50 . Laser plasma photography in X-ray radiation with two-coordinate space resolution is experimentally obtained. ---------------------------<\/div>\n<\/p>\n

S.G. Krivoshlykov<\/em> , I.A. Malkin<\/em> , V.I. Man»ko<\/em> ,
\n \u2116 25 <\/strong> COHERENT STATES AND \u0412L\u041eC\u041d FANCTIONS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The quasi-momentum representation for an arbitrary quantum system is constructed. In particular, the precise formula which express the Bloch functions through the elliptic Jakobe theta functions are obtained for the following dynamical systems: the relativistic and nonrelativistic electron in the uniform constant magnetic field. ---------------------------<\/div>\n<\/p>\n

\u0412.\u0410. \u0411\u043e\u0439\u043a\u043e<\/em> , \u0421.\u0410. \u041f\u0438\u043a\u0443\u0437<\/em> , \u0410.\u042f. \u0424\u0430\u0435\u043d\u043e\u0432<\/em> ,
\n \u2116 26 <\/strong> \u041c\u0415\u0422\u041e\u0414\u042b \u041e\u041f\u0420\u0415\u0414\u0415\u041b\u0415\u041d\u0418\u042f \u042d\u041b\u0415\u041a\u0422\u0420\u041e\u041d\u041d\u041e\u0419 \u041f\u041b\u041e\u0422\u041d\u041e\u0421\u0422\u0418 \u041b\u0410\u0417\u0415\u0420\u041d\u041e\u0419 \u041f\u041b\u0410\u0417\u041c\u042b \u041f\u041e \u0420\u0415\u041d\u0422\u0413\u0415\u041d\u041e\u0412\u0421\u041a\u0418\u041c \u0421\u041f\u0415\u041a\u0422\u0420\u0410\u041c \u041c\u041d\u041e\u0413\u041e\u0417\u0410\u0420\u042f\u0414\u041d\u042b\u0425 \u0418\u041e\u041d\u041e\u0412
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The X-ray Spectroscopic methods for determination electron density in high electron temperature plasma with \u0422\u0435c \u2265 0.2keV in the Ne > 1020 cm-3 band are considered in the paper. The considered methods are based on the following measurements: 1) of relative intensities of resonance and intercombination lines in He-like ion spectral 2) relative intensities of satellite lines in H-like ion spectra; 3) relative intensities of H-like resonance doublet components; 4) Stark broadening of H-like ion lines. All these methods were used in experiments with plasma heating by focusing the laser beam on plane massive targets, containing elements with nuclear charge Z=12-19. The density distribution in plasma was measured within the limits of Ne=1018-l021cm-3. The results obtained by all the methods were compared and the application limits of the methods were determined. The method of plasma photographing in different X-ray lines of high stripped ions Is proposed in the paper. ---------------------------<\/div>\n<\/p>\n

B.V. Somov<\/em> , S.I. Syrovatskii<\/em> ,
\n \u2116 27 <\/strong> QUASI-STEADY MAGNETIC FIELD DISSIPATION IH CURRENT SHEETS AS THE SOURCE OF HEATING FOR SOLAR ACTIVE REGION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Observational data and theoretical arguments suggest that the heating source for an active region is the quasi-steady dissipation of magnetic field in current sheets. Effects in the solar atmosphere which are due to current sheets presence are considered. The most important of them is the heating of chromosphere by the strong ultraviolet radiation of current sheet. This can give rise to the brightening of an active region in optical emission. The energy flux from the current sheet in different ranges of ultraviolet spectrum and the depths (column densities) into the chromosphere where this energy is absorbed are estimated. ---------------------------<\/div>\n<\/p>\n

R.. Gastmans<\/em> , R.. Kallosh<\/em> , C.. Truffin<\/em> ,
\n \u2116 34 <\/strong> QUANTUM GRAVITY HEAR TWO DIMENSIONS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Quantum gravity la shown to be renormalizable near two dimenaions. The charge renormalization constant la calculated In the one-loop approximation In the framework of the background functional method, it positive a non-trivial ultraviolet stable fixed point is prement ---------------------------<\/div>\n<\/p>\n

D.I. Khomskii<\/em> ,
\n \u2116 39 <\/strong> EXACT SOLUTION OF CLASSICAL DOUBLB-SPIN NODEL IN ONE DIMENSION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

An exact solution of classical double-spin Heisenberg model in one dimension is given. The partition function, free energy and correlation functions are found. ---------------------------<\/div>\n<\/p>\n

\u2116 43 <\/strong> MULTIPLICITY OF CHARGED SEONDARIES IN INTERACTIONS OF PROTONS IN \u0410N EMULSLON AT 400 Gev\/c
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The preliminary results on multiplicities of charged secondaries in proton-nucleus interactions at 400 Gev\/c are presented. Multiplicity of produced particles is consistent in the first appreximation with the KNO scaling hypothesis fax hadron-nucleus interactions. The relations between different moments of multiplicity distribution in proton-nucleus interactions at high energies are discussed too. ---------------------------<\/div>\n<\/p>\n

\u2116 61 <\/strong> COHERENT \u0420R\u041eDUCTION OF CHARGED \u0420\u0410R\u0422 ICLES ON NUCLEI BY 400 GEV\u0422\/C \u0420RO\u0422\u041eNS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

V.U. Finkelstein<\/em> , M.V. Kusmin<\/em> , V.N. Sazonov<\/em> ,
\n \u2116 64 <\/strong> THE DISSOCIATION 07 POLYATOMIC MOLECULES IN LASER RADIATIOH FIELD
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

It is shown that account of rotation results in essential Increase of laser radiation frequency interval, where affective excitation of molecule is possible. The developing model, in which free parameters are absent, is in good quantitative agreement with experimental data for S F6. Some dependencies between characteristic parameters of dissociation are predicted; the form of experi\u2116 mental check of these dependencies is discussed. In the appendix 1 the quasi-stationary state method is developed; in the appendix 2 the influence of the lamer radiation spectrum width on the process of excitation is investigated. ---------------------------<\/div>\n<\/p>\n

V.V. Dodonov<\/em> , I.A. Malkin<\/em> , V.I. Man’ko<\/em> ,
\n \u2116 70 <\/strong> C\u041e\u041dERENT STATES AND INTEGRALS OF THE \u041c\u041e\u0422ION OF A. RELATIVISTIC CHARGED PARTICLE IN AN EXTERNAL FIELD
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

We construct Integrals of the motion and coherent states for a relativistic charged particle in an external field which is a superposition of a field of en arbitrary plane wave and en additional field of the special type (this field is a generalization of the well known Redmond configuration). In the case of a periodic external field the coherent states Obtained are generating functions for the quasi-energy states. The explicit formulae for the quasi-energy states and spectra are given. Besides, we obtain the explicit formulae for the Green function and show that its diagonal elements determining the vacuum polarization do not depend on the presence of a plane wave. These results (although the most of then have been well bum) demonstrate once more the simplicity and effectiveness of the coherent states and integrals of the notion method for solving various problems of quantum electromagnetics. ---------------------------<\/div>\n<\/p>\n

\u2116 75 <\/strong> MULTIPLICI\u0422Y OF CHARGED PARTICLES IN \u0420ION-NUCLEUS INTERACTIONS IN AN EMULSION AT 200 GEV\/C
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The experimental data en multiplicities of charged secondaries produced in pion-nucleus Interactions in an emulsion at 200 Gev\/c and correlations between them are presented and discussed. Parameters of multiplicity distributions are compared with the relevant ones at lower energies and with data from pA-interactions at 200 Gev\/c. The multiplicity of heavily ionzing particles in A-interactions weakly depend on the incident energy. The KNO scaling is observed being the same for incident protons end pi one. ---------------------------<\/div>\n<\/p>\n

\u2116 76 <\/strong> A STUDY OF TWO-PARTICLE CORRELATION IN INELASTIC PION-HUCLEUS INTERACTIONS AT 200 GEV\/C
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Pseudorapidity and azimuths! two-particle correlations have been investigated in pion-nucleus interactions at 200 Gev\/c. The considerable attention has been devoted to the exclusion of kinematical and pseudo — correlations. The qualitative comparison of experimental results with some theoretical models has been performed. ---------------------------<\/div>\n<\/p>\n

\u2116 77 <\/strong> AH ANALYSIS OF ANGULAR DISTRIBUTION OF RELATIVISTIC PARTICLES IN INELASTIC PION — NUCLEUS COLLISIONS AS 200 GEV\/C
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

General parameters characterizing single particle inclusive distributions of shower particles and their dependence on the multiplicity are discussed in A interactions at 200 Gev, The qualitative comparison of data presented with predictions of several popular models for hadron-nucleus collisions are performed. ---------------------------<\/div>\n<\/p>\n

\u0410.\u0412. \u0412\u0438\u043d\u043e\u0433\u0440\u0430\u0434\u043e\u0432<\/em> , \u0418.\u042e. \u0421\u043a\u043e\u0431\u0435\u043b\u0435\u0432<\/em> , \u0412.\u041f. \u0428\u0435\u0432\u0435\u043b\u044c\u043a\u043e<\/em> ,
\n \u2116 82 <\/strong> \u0427\u0423\u0412\u0421\u0422\u0412\u0418\u0422\u0415\u041b\u042c\u041d\u042b\u0415 \u043a \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438 \u0421\u041f\u0415\u041a\u0422\u0420\u0410\u041b\u042c\u041d\u042b\u0415 \u041b\u0418\u041d\u0418\u0418 \u041e\u0414\u041d\u041e — \u0418 \u0414\u0412\u0423\u0425\u042d\u041b\u0415\u041a\u0422\u0420\u041e\u041d\u041d\u042b\u0425 \u0418\u041e\u041d\u041e\u0412 \u0412 \u0414\u0418\u0410\u0413\u041d\u041e\u0421\u0422\u0418\u041a\u0415 \u041b\u0410\u0411\u041e\u0420\u0410\u0422\u041e\u0420\u041d\u041e\u0419 \u041f\u041b\u0410\u0417\u041c\u042b
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Density dependent lines of one- and two-electron ions in diagnostics of laboratory plasma. 1. The rates of collision relaxation of excited levels. V.F. Shevelko, I.Tu. Skobelev, and A.V. Vinogradov (Lebedev Physical Institute, Academy of Sciences of the USSR, Leninsky prospect .53i Moscow, USSR) Plasma devices with inertial plasma confinement such as laser produced plasma, exploding wires, plasma focus etc., which have been rapidly developed last years, appeared to be very intensive sources of spectral line radiation in far UV and X-ray regions. The analysis of this radiation gives a good tool for plasma diagnostics with very high electron densities up to 1022 cm-3. In this work which contains two parts we consider mechanism of formation of spectral lines in hot and dense plasma. The key point for density diagnostics is the fact that for some ion levels the rate of collisional relaxation has the same order of magnitude as the radiative decay. So the intensities of spectral lines arising from these levels show the strong dependence on electron density which gives possibility of diagnostics. In the first paper the emphasis is made on the calculation of rates of transition between close ion levels induced by electron or ion impact which usually gives the main contribution into the collisional relaxation constants. The influence of plasma polarization effects on the collision frequency in a dense plasma is also considered. ---------------------------<\/div>\n<\/p>\n

A.N. Oraevsky<\/em> ,
\n \u2116 88 <\/strong> CHEMICAL LASERS: PRESEHT SITUATION AND TRENDS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

V.Ya. Fainberg<\/em> , K.A. Soloviev<\/em> ,
\n \u2116 95 <\/strong> HOW CAB LOCAL PROPERTIES BE DESCRIBED IN FIELD THEORIES WITHOUT STRICT LOCALITY
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

To investigate local properties of the fields that are not strictly localizable we associate a topology (O) on the teat function apace to each space-time region O. Conditions are found which the family of topologies (O) must satisfy in order that the concept of causality can be introduced into the theory. It is considered how the main properties of the Wight-man functionals change when we pass to test function spaces which have less pronounced local properties. It is shown, In particular, that the fields with exponential momentum-space growth like exp(l\u2551p\u2551) are localizable only in apace-time regions large in comparison with l. This happens because not any domain in the apace of several complex variables is a domain of holomorphy. A simple method for deriving Ruelle’s cluster property is proposed, which is applicable to nonlocalizable fields as wall as to localizable ones. Making use of this property, we prove polynomial energy boundedness of the elastic scattering amplitude in nonlocalizable theories ---------------------------<\/div>\n<\/p>\n

L.N. Bulaevskii<\/em> , D.I. Khomskii<\/em> ,
\n \u2116 97 <\/strong> ‘IREE-DIMENSIONAL ORDERING OF CHARGE-DENSITY WAVES IN QUASI-ONE-DIMMENSIONAL AND LAYERED CRYSTALS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The interaction energy of charge-density waves (CDW) in quasi-one-dimensional and layered crystals which depends on the difference of phases of CDW in individual chains or layers is obtained by the tunnel Hamiltonlan method. Tunnelling of electrons between the chains (layers) and Coulomb interaction of CDW are shown to contribute into this interaction, the former mechanism dominating in all the c\u0430s\u0435s. Experimental data for quasi-one-dimensional crystals are discussed on the basis of the results obtained. For layered crystals the three-dimensional ordering of CDW is determined by minimizing the free energy of the interaction between layers taking Into account commensurability effects. Such an approach makes It possible to account for experimentally discovered ordering of CDW In layered crystals. The influence of disorder is also discussed ---------------------------<\/div>\n<\/p>\n

L.N. Bulaevskii<\/em> , V.V. Kuxii<\/em> , A.A. Sobyanin<\/em> ,
\n \u2116 98 <\/strong> GROUND STATE WITH NONZERO-CURRENT IN THE WEEK LINK SUPERCONDUCTING RING
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

We consider a superconducting ring which include Josephsen junction with magnetic impurities in the dielectric layer. It is shown that in such a system spontaneeus circular current and magnetic flux should appear below critical temperature If electron tunneling through the localized magnetic states in the layer la strong enough ---------------------------<\/div>\n<\/p>\n

D.I. Khomskii<\/em> ,
\n \u2116 101 <\/strong> COOPERATIVE J\u0410\u041dN-TELLER TRAHSITION WITH FORMATION OF TRIPLED PERIOD: CaCuCL3
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Structural phase transition at which the period increases 3 times, taking place at 423 \u041a in CaCuCl3,is explained as a result of antiferrodistortive cooperative Jahn-Teller interaction acting together with a local anharmonicity whichstabilises the elongated octahedra around Cu2+ ions, the absenoe of softening at T>Tc of phonons with wave vector q = 2\/3c is explained. It is shown that the struc ture of a low-temperature phase (the period along the \u0421-exes) can be changed by uniaxial stress in a basal plane. ---------------------------<\/div>\n<\/p>\n

\u2116 102 <\/strong> DIEFRACTION GENERATION OF PARTICLES IN COHERENT PION-NUCLEUS INTERACTIONS AT 200 GEV\/C
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The total and topological cross-sections in reactions at coherent diffractive dissociation of 200 Gev\/c mesons off photoemulsion nuclei have been measured and cross-sections for the channelswere estimated. The energy dependence of cross-sections for various channels of inelastic coherent diffraction off nuclei and Invariant mass distribution of produced 3 system have been investigated. The topological cross-sections increase in the range from 40 to 200 Gev\/c. This growth is the most noticeable for multiprong topologies. The cross-section of the exclusive channel + does not depend on incident particle momentum in the range 40 — 200 Gev\/c. The topological cross-sections of coherent reactions increase with the energy due to the openning channels with larger numbers of neutral particles. Mass spectrum of 3 system in the coherent reaction weakly depends on the energy. ---------------------------<\/div>\n<\/p>\n

A.I. Nikishov<\/em> ,
\n \u2116 106 <\/strong> ENERGY SPECTRUM OF E+E PAIR CREATED IN MUON COLLISION WITH AN ATOM
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

With allowance for screening the energy spectrum of e+e pair in relatively soft (and usually most important) region is obtained. The complicated general formula becomes rather compact in the limiting cases of no screening and complete screening ---------------------------<\/div>\n<\/p>\n

I.N. Kompaneets<\/em> , S.P. Kotova<\/em> , V.N. Morozov<\/em> , A.A. Vasiliev<\/em> , P.V. Vashurin<\/em> ,
\n \u2116 111 <\/strong> OPTICAL DATA TRANSFORMATION AND CODING IN ELECTRO OPTICAL PROCESSORS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Theoretical calculations and experimental results indicate a possibility of using the controlled phase matrix transparencies in electro-optical processors, which generate two-dimensional Walsh and Hilbert transformations. The possibility of recording and separate reconstruction of superimposed holograms with reference beam coded by pseudorandom signals based on M-sequenpes and by controlled transparencies generating Walsh functions in conjunction with a random phase mask (diffusor), is shown ---------------------------<\/div>\n<\/p>\n

A.D. Linde<\/em> ,
\n \u2116 112 <\/strong> ON THE VACUUM INSTABILITY AND THE HIGGS MESON MASS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

A theory of the decay of a metastable vacuum state both in quantum field theory and in quantum statistics at a nun-vanishing temperature is considered. As an application it is shorn that if the Universe is not enormously charge-asymmetric, then the Higgs meson mass in the Weinberg model should exceed 6.9 Gev ---------------------------<\/div>\n<\/p>\n

D.I. Khomskii<\/em> ,
\n \u2116 113 <\/strong> ELE\u0421\u0422R\u041eN CORRELATIONS AND MAGNE\u0422I\u0421 \u0420R\u041e\u0420ERTI\u0415S \u041eF SUBSTANCES WITH PARTIALLY FILLED NARROW BANDS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Using Gutzwiller variational method it la shown that electron correlation in a Hubbard modal becomes stronger with the decrease of electron concentration. As a result the substances with partially filled narrow bands may display the properties of s system with localized magnetic moments and are «more magnetic» than corresponding compounds with an integral valence. The results obtained are used to explain magnetic properties of vanadium oxides ---------------------------<\/div>\n<\/p>\n

V.L. Ginzburg<\/em> , G.F. Zharkov<\/em> ,
\n \u2116 115 <\/strong> THERMO\u0415L\u0415\u0421\u0422RIC EFFECTS IN SUPERCONDUCTORS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

A.V. Gurevich<\/em> , Ya.S. Dimant<\/em> ,
\n \u2116 120 <\/strong> HUNAWAY ELECTRONS IH TOROIDAL MAGNETIC DEVIGES
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

A kinetic equation is derived far fast electrons in toroidal magnetic devices of the tokamak or stellarator type. It is of different types for different groups of electrons — transit of trapped in a magnetic field. The solution of the kinetic equation is found and analytical expressions for the electron distribution function are obtained for the case of an ideal (nonrippled) torus and electric field less than the critical Dreicer field. Runaway flux of electrons is found. The case of a rippled torus is investigated with the account taken of vertical drift that leads to the outflow to the chamber walls of electrons, blocked in ripples. A considerable outflow of plasma is shown to be possible only for electrons of energy exceeding some quantity d that depends on the magnetic field, depth of the ripple, plasma density and on the dimension parameters of the device ---------------------------<\/div>\n<\/p>\n

V.I. Ritus<\/em> ,
\n \u2116 126 <\/strong> METHOD OF EIGENFUNCTIONS IN QUANTUE KLECTRODJNSNIOA OF AN ARBITRARY CONSTANT FIELD
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

D.F. Alferov<\/em> , Ya.A. Bashmakov<\/em> , K.A. Belovinsev<\/em> , E.G. Bessonov<\/em> , P.A. Cherenkov<\/em> ,
\n \u2116 139 <\/strong> ONDULATOR AS A SOURCE OF ELECTROMAGNETIC RADIATION REPORTED AT THE SECOND WORKING MEETING ON SYNCHROTRON RADIATION USE (SR-77) (NOVOAIDIRBK. FEBRUARY 8-10, 1977)
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The progress in various fields of natural sciences is closely connected with the development and utilization of new Source\u044d of electromagnetic radiation. Wide prospects are offered if the ondulatory radiation sources are used in practice. Both the ondulator and synchrotron radiations are capable to overlap the wide spectral range from submillimeter waves to a hard radiation. The ondulatory radiation differs from the synchrotron radiation by higher intensity, directivity, monochromaticity and polarization degree. There is a possibility of operational changes in polarization modes of ondulatory radiation. Basic consequences of the ondulatory radiation theory are considered here. The requirements to the parameters of ondulators and the characteristics of charged particle beams are discussed ---------------------------<\/div>\n<\/p>\n

V.P. Bystrov<\/em> ,
\n \u2116 145 <\/strong> AUTOMATIC SUBMILLIMTER SPECTROMETER \u0410SSL\u041eV FOR DIELECTRIC INVESTIGATIONS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The present work has been accomplished in the Oscillation Laboratory of the Lebedev Physical Institute being head of academician A.M.Prokhorov ---------------------------<\/div>\n<\/p>\n

I.P. Tindo<\/em> , B.V. Somov<\/em> ,
\n \u2116 149 <\/strong> POLARI\u041c\u0415\u0422\u0415R FOR STUDY OF THE X-RAY EMISSION OF SOLAR FLARES
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The experimental techniques for solar X-ray polarimetry are reviewed. Requirements imposed on the precision of the measurements are discussed, in improved version of the satellite-borne Thomson-scattering polarimeter for the photon energy of about 15 \u041aeV is described ---------------------------<\/div>\n<\/p>\n

E.V. Doctorov<\/em> , I.A. Malkin<\/em> , V.I. Man’ko<\/em> ,
\n \u2116 153 <\/strong> THE DUSHINSKY EFFECT AND SUM RULES FOR VIBRONIC TRANSITIONS IN POLYATOMIC MOLECULES
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The method is elaborated for analysing, in terms of the sum rules, the intensity distribution of the vibronic bands in electronic spectra of polyatomic molecules, with taking into account the rotation of the excited state normal coordinates relative to the ground state ones (the Dushinsky effect). In the harmonic oscillator approximation, the quantitative criterion of availability of the Dushinsky effect is obtained. The existence of this effect leads to non-trivial formulae for probabilities of the Joint excitation of different vibrational modes. Expressions are obtained for the mean number of quanta excited in a given mode and for its standard deviation, as well as for the correlation coefficients. The proposed method does not demand to perform the complete vibrational analysis of the spectrum of interest, thereby allowing to make calculations in the presence of incomplete information concerning the vibronlc structure of the spectrum. As an example, the calculation of the correlation coefficient for the 3700 A bind system of the absorption spectrum of SO2 is given ---------------------------<\/div>\n<\/p>\n

V.V. Dodonov<\/em> , V.I. Man’ko<\/em> ,
\n \u2116 164 <\/strong> LOSS-ENERGY STATES OF NONSTAT IONARY QU\u0410N\u0422U\u041c SYSTEMS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

E.S. Fradkin<\/em> , O.K. Kalashnikov<\/em> , S.E. Konstantin<\/em> ,
\n \u2116 166 <\/strong> ASIMTOTICALLY FREE K6 MODEL OF UNIFIED INTERACTION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

An asymptotically free E6 model of unified Interaction is constructed.For the model to exist quite definite relations between coupling constants are necessary,the gauge coupling constant t\t<\/p>\n

A.I. lvov<\/em> , V.A. Petrunkin<\/em> ,
\n \u2116 170 <\/strong> SUM RULES FOR PION POLARIZABILITIES
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> [spoiler]Hew dispersion sum rules for electric and magnetic polarizabilities of pion are derived in assumption of s-channel helicity conservation in high energy Compton scattering. She saturation of these sum rules is discussed ---------------------------<\/div>\n<\/p>\n

D.S. Chernavskii<\/em> , V.L. Eidus<\/em> , A.G. Khachaturjan<\/em> ,
\n \u2116 171 <\/strong> KINETICS OF PHASE TRAESITIOES IN CELL MEMBRANES
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

P.O. Bogdanovich<\/em> , S.A. Pikus<\/em> , A.S. Safronova<\/em> , A.Ya. Faenov<\/em> , P.O. Bogdanovich<\/em> , G.V. Merkelis<\/em> , Z.B. Rudzikas<\/em> , S.D. Shadzuvene<\/em> ,
\n \u2116 175 <\/strong> THEORETICAL WAVELENGTHS AND TRANSITION PROBABILITIES OF FI ISOELECTRONIC SEQUENCE FOR IONS WITH NUCLEAR CHARGE Z=26 … 34. IDENTIFICATION OF Fe XVIII AND ZN XXII IONS FROM LASER-PRODUCED PLASMA
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

This paper reports theoretical wavelengths and transition probabilities of FI isoelectronic sequence for ions with nuclear charge 2=26 … 34. They have been calculated using Hartree lock method, 19 lines of Fe XYIII and 26 lines of Za XXII have been identified, which correspond to transitions cf the IBc2B 2p Is22s22p43s and Is22e22p5 — lB22s22p43d configurations. These lines have been emitted from s laser-produced plasma ---------------------------<\/div>\n<\/p>\n

X.V. Apanasenko<\/em> , N.A. Dobrotin<\/em> , K.A. Kotelnikov<\/em> , S.I. Nikolski<\/em> ,
\n \u2116 176 <\/strong> INVESTIGATION OF PRIMARY COSMIC RAY CO\u041c\u0420\u041eSITION AT \u0422\u041dE ENERGIES ABOVE TO1014 EV
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

\u0412 \u0440\u0430\u0431\u043e\u0442\u0435 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0430 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u043e\u0437\u0432\u043e\u043b\u0438\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432 \u043f\u0435\u0440\u0432\u0438\u0447\u043d\u044b\u0445 \u043a\u043e\u0441\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043b\u0443\u0447\u0430\u0445 \u043f\u043e\u0442\u043e\u043a \u044f\u0434\u0435\u0440 Fe \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u044d\u043d\u0435\u0440\u0433\u0438\u0439 \u2265 104\u044d\u0432.\u0418\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u044c \u0432\u043d\u0435 \u0437\u0435\u043c\u043d\u043e\u0439 \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u0435 \u043f\u0440\u0438 \u043f\u043e\u043c\u043e\u0449\u0438 \u043b\u0435\u043a\u0441\u0430\u043d-\u044d\u043c\u0443\u043b\u044c\u0441\u0438\u043e\u043d\u043d\u043e\u0439 \u043a\u0430\u043c\u0435\u0440\u044b. \u041e\u0431\u0441\u0443\u0436\u0434\u0430\u0435\u0442\u0441\u044f \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0430\u044f \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u044f \u043a\u0430\u043c\u0435\u0440\u044b, \u0435\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0438 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043c\u0435\u0442\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u0438 ---------------------------<\/div>\n<\/p>\n

V.L. Ginsburg<\/em> ,
\n \u2116 179 <\/strong> T\u041dE ORIGIN OF COSMIC RAYS (PAST, PRESENT, FUTURE)
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

\u041d.\u0411. \u0414\u0435\u043b\u043e\u043d\u0435<\/em> , \u041c.\u0412. \u0424\u0451\u0434\u043e\u0440\u043e\u0432<\/em> ,
\n \u2116 184 <\/strong> \u041f\u041e\u041b\u042f\u0420\u0418\u0417\u0410\u0426\u0418\u042f \u0424\u041e\u0422\u041e\u042d\u041b\u0415\u041a\u0422\u0420\u041e\u041d\u041e\u0412 \u041f\u0420\u0418 \u041d\u0415\u041f\u041e\u041b\u042f\u0420\u04183\u041e\u0412\u0410\u041d\u041d\u042b\u0425 \u0410\u0422\u041e\u041c\u0410\u0425
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The methods are discussed to obtain polarized electron beams by a ans of the direct and resonant ionization of umpolarized atom by a circularly polarized light. The paper includes the review of the theoretical and experimental works on these topics and the discussian of the physical nature of the phenomena and the physical restrictions upon the parameters of a laser field and ionized atoms. In the first section («Photoionization») the direct one-photon ionization and the Fano effect are considered. The theoretical approaches, to the description of the latter phenomenon and its experimental investigation are elucidated in and 3,4 respectively. The second section is devoted to the description of the resonant multi-photon (two-photon, mainly) ionization and of obtaining the spin polarized free electrons in this process. The transjtions in the fins structure of atomic levels scheme (PSS) and in the hiper-fine structure scheme (UPSS) are considered in 5 and 6. The main qualitative conclusion of this investigation is that in general in the PSS the higher electron polarization parameter may be obtained than in the HFSS. On the other hand the latter scheme may be used for obtaining the ions with the polarized nuclei, the degree of the nuclear spin polarization being about 80% (6). In 7 he mechanizmus of atomic spectra perturbation by an external laser field are discussed. The restrictions upon the electric field strength are found which follow from the condition that the atomic level splitting, shift and broadening should not prevail the fine structure energy. In 8 the experimental methods of the resonant ionization and the electron spin polarization are discribed. the corresponding results are reproduced and discussed in 9 ---------------------------<\/div>\n<\/p>\n

R.E. Kallosh<\/em> , O.V. Tarasov<\/em> , I.V. Tyutin<\/em> ,
\n \u2116 185 <\/strong> ONE-LOOP FINITENESS OF QUANTUM GRAVITY OFF MASS SHELL
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

The dependence of the counterterms \u221agR\u00b2 and \u221ag’ Rv on gauge parameters in calculated in the one-loop approximation in pure quantum gravity. Gauges are found in which these counterterms are absent, i.e. the theory is finite even off shell. The role of classical equations of motion and possible applications of our method to other theories and, in particular, in super gravity are discussed ---------------------------<\/div>\n<\/p>\n

V.V. Dodonov<\/em> , V.I. Man»nko<\/em> ,
\n \u2116 186 <\/strong> C\u041e\u041dEREN\u0422 STATES AND THE RESONANCE OF A QUANTUM DAMPED OSCILLATOR
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Coherent states, various integrals of the notion and their eigenstates are constructed for a nodal of a quantum damped harmonic oscillator both with timeindependent and time-dependent parameters. The resonance properties of a quantum damped oscillator in the presence of an external harmonic force are studied. The symmetry of the Hamiltdnian is discussed, and the new concept of loss-energy states is introduced ---------------------------<\/div>\n<\/p>\n

V.A. Boiko<\/em> , S.A. Pikus<\/em> , A.S. Safronova<\/em> , A.Ya. Faenov<\/em> ,
\n \u2116 191 <\/strong> X-BAX SPECTRA OF HIGHLY IONIZED Fe THEOUGH Zn, Ge AND Se OF OI ISOELECTRONIC SEQUENCE FR\u041eM LASER-PRODUCED PLASMA: TRANSITIONS 2S22P4-2S22P33D
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

X-ray spectra of FeXIX through ZaXXIII, GeXXV and SeXXVll ione belonging to oxygen isoelectronic sequence were obtained from laser-produced plasma. 211 spectral lin\u0435s were identified as transitions between configurations 2B22p4 — 2a22p-33d. Energetic structure for ions considered was presented ---------------------------<\/div>\n<\/p>\n

O.K. Kalashnikov<\/em> ,
\n \u2116 206 <\/strong> ASYMPTOTICALLY FREE MODELS OF UNIFIED IN\u0422ER\u0410\u0421\u0422ION
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> <\/p>\n

V.V. Dodonov<\/em> , V.I. Man»ko<\/em> ,
\n \u2116 209 <\/strong> INTEGRALS OF \u0422\u041dE \u041c\u041e\u0422ION AHD N\u041eNLINE\u0410R FORMS OF LINE\u0410R EQUATIONS
\n\u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442<\/a> |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f|<\/a>\n

Considering dynamical systems described by linear equations of the type of the Schrodinger or the Klein-Gordon equations and applying to them various nonlinear transformations we obtain new exactly solvable nonlinear partial differential equations. The relations between the integrals of the motion of linear and nonlinear equations are discussed. Soliton-like solutions are obtained, A new method of solving quasilinear equa Pn(u) being an the equation arbitrary polynomial of the n-th degree, is suggested, and the explicit expression for the Green function of is obtained ---------------------------<\/div>\n <\/p>\n","protected":false},"excerpt":{"rendered":"

S.I. Syrovatskii , \u2116 2a THE COHREKT SHEET FORMATION AND RUPTURE NEAR THE MAGHETIC ZERO LOTS \u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442 S.I. Syrovatskii , \u2116 7 ON THE POSSIBILITIES TO OBSERVES PREFLARE CURRENT SHEETS ON THE SUN \u0421\u043a\u0430\u0447\u0430\u0442\u044c \u043f\u0440\u0435\u043f\u0440\u0438\u043d\u0442 |\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f| We discuss the possible ways of early search for current sheets on the sun with the purpose to […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"_links":{"self":[{"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=\/wp\/v2\/posts\/5686"}],"collection":[{"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5686"}],"version-history":[{"count":0,"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=\/wp\/v2\/posts\/5686\/revisions"}],"wp:attachment":[{"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5686"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5686"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/preprints.lebedev.ru\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5686"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}