Yu.M. Gouphan , K.N. Kocharyan , A.S. Prokhorov , E.G. Rudashevsky ,
№ 5 STUDY OF THE EFFECTS OF PARALLEL SUSCEPTIBILITY AND LONGITUDINAL DZYALOSHINSKYINTERACTION (DI) UPON АFMR IN CoF2
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V.V. Dodonov , I.A. Malkin , V.I. Man’ko ,
№ 6 INTEGRALS ОF THE MОТION, GREEN FUNCTIONS END COHERENT STATES ОF DYNAMICAL SYSTEMS
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The connection between the integrals of the motion of a quantum system and its Green, function is established. She Green function is shown to be the eigenfunction of the integrals of the motion which describe initial points of the system trajectory in the phase space of average coordinates and momenta. The explicit expressions for the Green functions of the Д/ — dimensional system with the hamiltonian which is the most general quadratic form of coordinates and momenta with time-dependent coefficients is obtained in coordinate, momentum and coherent states representations. The Green functions of the nonstationary singular oscillator and of the stationary Sohrodiriger equation are also obtained
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№ 9 INTERACTIONS OF 200 GEV/C PROTONS WITH EMULSION NUCLEI. CHARGED РАRTICLE MULTIPLICTIES
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The experimental data on the multiplicity distributions for various kinds of secondaries produced in the proton-nucleus interactions in emulsion at SOO GeV/c and the correlations between then are presented and discussed. All the characteristics of heavy prongs (mean values , < ng>, their distributions and correlations) are independent (or have а тегу weak dependence) on the collisions energy in the range 20 — 200 GeV/c. The data contradict to the cascade-evaporation model and qualitatively agree with the mechanism of particle emission via the long-lived intermediate states
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E.V. Doktorov , T.A. Malkin , V.I. Man’ko ,
№ 14 ASYMPTOTIC ВЕНAVIOUR OF MATRIX ЕLЕMENТS AND COHERENT STATES
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Various types of the asymptotic expressions of transition amplitudes — Dmmj — are studied by the coherent states methods in the region of large quantum number. In particular, the generalization of Wigner formula is obtained. New generating functions are obtained for symmetric top wave functions
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А.В. Алакоз , Л.Ф. Васильева , П.Ф. Васильев , В.С. Лакаев , О.М. Козодаева , И.А. Лакаева , А.П. Шмелева ,
№ 20 МНОЖЕСТВЕННАЯ ГЕНЕРАЦИЯ ЧАСТИЦ ПРИ ВЗАИМОДЕЙСТВИИ BЫCOКОЭНЕРГЕТИЧЕСКИХ АДРОНОВ С ЯДРАМИ АЛЮМИНИЯ
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The experiments to measure the characteristics of multiparticle production has been carried out at an altitude 2000 m (Armenia) with cosmic-ray nucleons and pions and at the JHEP accelerator (Serpouchov). The wide-gap spark chambers have been used in both experiments. A study has been made to the multiplicity distributions and angular distributions of the charged particles
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V.V. Dodonov , I.A. Malkin , V.I. Man’ko ,
№ 29 EXCITATIONS OF A NONSTATIONARY ASYMMETRICAL SINGULAR OSCILLATOR
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E.V. Doktorov , I.A. Malkin , V.I. Manko , A.V. Tyrin ,
№ 36 FRANCK_GONDON FACTOR FOR DIATOMIC MOLECULE AND DYNAMICAL SYMMETRY FOR VIBRONIC TRANSITIONS
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In the present paper the connection between the Franck — Gondon factor (FCF) and the matrix element of the dynamical group for the harmonic potential is elucidated. The asymptotic behaviour of the — FCF is obtained by the coherent state method and the Condon parabola is found for it. New recurrence relations for overlap integrals are obtained for enharmonic potentials — the singular oscillator and the Morse potential. The geometric approach which generalizes the Franck-Gondou principle is proposed
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V.F. Kitaeva , Yu.I. Osipov , N.N. Sobolev , A.L. Shelekhov , V.P. Agheev ,
№ 40 PROBE MEASUREMEHTS OF AR+ LASER PLASMA PARAMETERS
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The results of local investigations of Ar+ laser plasma parameters by a new pulsed single№ probe method are presented. The experiments were carried out in a IOmm-bore tube at discharge currents of 60+60 A and argon pressure of 0.2÷1 torr. Electron concentration and temperature distributions over the discharge tube radius hare been determined. Basing on the results obtained, a number of Ar+ laser plasma parameters have been estimated. Our results are compared with the available model theories of an Ar+ laser
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R.E. Kallosh , I.V. Tyutin ,
№ 42 THE GAUGE INVARIANCE OF THE RENORMALIZATION GROUP EQUATIONS
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The -function in the asymptotical equations of the renormalization group and also the full equations for the Green functions of gauge-invariant operators are shown to be gauge-invariant in nоп-аЪеlian gauge theories
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L.N. Bulaevsky , V.L. Ginzburg , D.I. Khomskii , D.A. Kirzhnits , Ju.V. Kopaev , E.G. Maximov , G.F. Zarkov , G.P. Motulevich ,
№ 45 THE PBOBLEM OF HIGH-TEMPERATURE SUPSHCONDUCTIVITY PART I
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The study of high-tempera Cure superconductivity was initiaited, at least at a modern level, in 1964. Since that time considerable progress has been made in theory and interesting experimental results have recently appeared. And as happens usually in such cases, the situation changes rather quickly and thus the existing reviews [l-3] are not up to date to penetrate into the state of the problem, though they were written only three-four years ago. That was the reason why scientists of the theoretical physics department of the P.N.Lebedev Physical Institute, who are engaged in this problem, have written down the present review. The participants are: L.N.Bulaevslcy, V.L.Glnzburg, G.F.Zartov, D.A.Kirzhnits, Ju.V.Kopaav, E.G.Uakslaov and D.l.Khomskll and G.P.Kotulevlch, the employee of the optical laboratory of the institute; the text is edited by V.L.Ginzburg and D.A.Kirzhnlts. Since many new people begin working on hlgh-temperature superconductivity, it was considered reasonable to include also the well-known material and to divide the text into the main popular part and appendices containing more detailed and special discussion of some question. We realize that the present review suffers from some shortcomings owing partially to the difficulty to co-ordinate end unify sections written by different suthors. We may hope, however, that even in such a form the review will prove useful and provide so necessary and fully justified intensifiestion of at stadies of hlgh-temperature superconductivity
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E.V. Ivanova , I.A. Malkin , V.I. Man’ko ,
№ 48 СОНЕRЕNT STATES AND CHARGED PARTICLE EMISSION IN STATIONARY CROSSED FIELDS
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The electron motion in crossed stationary homogeneous magnetic and inhomogeneous electric fields is dealt with. There has been found a group of dynamical symmetry Sp (4,R)^ H (2), stationary and coherent states of the system, its spectrum and the Green function has been obtained as well. There has been estimated in the dipole approximation the spontaneous and induced emission of the system in stationary and non-stationary states. There has been followed transition to the classical limit. Based on the system dynamical symmetry there has been calculated an exact spontaneous emission in the case of transitions between stationary states
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T.M. Makhviladze , A.I. Rez , M.E. Saritchev ,
№ 65 On the thermodynamics of radiating particles in resonant cavity.
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Yu.M. Aleksandrov , V.F. Grushin , A.N. Zinevich ,
№ 69 Multiple scattering of 50-MeV electrons in thin feils.
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D.S. Chernjavskii , N.M. Chernavskaya ,
№ 72 Some theoretical aspects of the problem of life origin.
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V.P. Avtonomov , E.T. Antropov , N.N. Sobolev , Yu.V. Troitsky ,
№ 81 The use of absorbing and diffractional selectors for selecting rotational lines in CO2 laser.
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V.V. Dodonov , I.A. Malkin , V.I. Man’ko ,
№ 83 Generating functions for jacobi polynomials.
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E.L. Feinberg ,
№ 89 Hydrodynamical appreach to the electron-positron annihilation into hadrons.
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D.A. Kirzhnits , A.D. Linde ,
№ 101 PHASE TRANSITION IN ТHE FIELDS THEORIES WITH SPONTANEOUS SУMMETRY BREAKING
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A theory of phase transition in the field theories with spontaneous symmetry breaking is proposed. It is shown that in the scalar Goldstone model at a sufficient temperature the transition of the 2-d kind occures, end in the Biggs model including vector field under certain conditions this phase transition reverse to the phase transition of the 1-st kind. Some questions are discussed connected with phase transition in an external vector field, with superfluidity of the charged Bose-condensat of scalar particles, and also with soma problems of the diagrammatic technique for gauge fields In quantum statistics. It is noted that in the processed with temperature variation (in particular, in the coarse of the «hot» Universe evolution) the energy balance of substance is violated due to the energy «pumping» from the nonobserved Bose-condensate
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L.V. Keldysh , A.A. Manenkov , V.A. Miliaev , G.N. Michailova ,
№ 116 MICROWAVE BREAK-DOWH AND EXCIТОN CONDENSATION IN GERMANIUM
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The break-down effect of excitona In germanium by a pulsed microwave field at frequency f = 10 GHz at helium temperatures is studied in detail. Germanium was optically exalted by a pulsed garnet laser . The maxmum concentration of nonequilibrium carriers was ~I0I5cm-3. The dependences of threshold break-down power on the duration and the delay time of a microwave pulse with respect to a laser pulse and on the level of optical excitation at 1.3°K are examined. The theory of the effeot based on the ionization of excitons, being in equilibrium with electron-hole droplets is proposed. The break-down effect is also discussed in terms of the blexcitonic model. The experimental dependences adduced are in a good agreement with the theoretical evaluations based on the exciton-droplet model
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E.V. Ivanova , I.A. Malkin , V.I. Man’ko ,
№ 127 COHERENT STATES AND RADIATION OF NONSTATIONARY QUADRATIC STSTEMS
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The aim оf this paper is to calculate the radiation of an arbitrary nonstationary system whose Hamiltonian is a general quadratic form with respect to coordinates and moments
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V.I. Ginzburg , V.I. Man’ko ,
№ 128 RELATIVISTIC WAVE EQUATIONS WITH INNER DFGREES OF FREEKDOM AND FARТONS
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During шаnу years the relativistic wave equations with inner degrees of freedom (inner variables) have been investigated. In the most cases such equations posess the defect solutions but there are known equations with auxiliary conditions whose mass spectrum is good enough. From the other sid the introducing in these equations of interaction Is л difficult problem. We present here s review of the situation with relativistic wave equations with inner variables in connection with the possibility to use these equations for describing some parton models
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M.V. Fedorov ,
№ 129 STIMULATED SCATTERING ОF ELECTRONS BY FHOTONS AND ADIABATIC SWITCHING ОN HYPOTHESIS
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The stimulated scattering of electrons by a standing light wave is considered. The standing wave amplitude is supposed to be slowly switched on and slowly switched off after the interaction. It is found that the scattering probability can be small due to the switching on process slowness. In the adiabatic limit the Kapitza-Dirac effect disappears. The resonance scattering is considered which arises when another (running) light wave is added. The corresponding probability and the scattering directions are found
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V.L. Ginzburg , V.V. Zheleznyakov ,
№ 130 ON THE PULSAR EMISSION MECHANISMS
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M.T. Adamovich , N.A. Dobrotin , V.G. Larionova , M.I. Tretjakova , S.P. Kharlamov , M.M. Chernjavsky ,
№ 132 ТНE DISTRIBUTION OF RAPIDITI INTERVAIS,MAXIMUM INTERVAIS AND MAXIMUM RAPEDITI GAPS IN pp-INТERАCTIONS AT 200 Gev/c
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The experimental distributions оf the rapidity intervals between particles in jets are presented. This distribution is compared with that obtained from uniformly distributed density of particles in rapidity scale. The distribution of maximum intervals of rapidity for low multiplicities and for high ones are essentially different. These ones have the maximum intervals smaller than from uniformly distributed density. This can be interpreted as an evidence for many particle correlations on rapidity. The distribution of maximum rapidity gaps are compared with predictions of both pomeron and reggeon exchange models. The experimental distribution of maximum rapidity gaps are displaced to the small values, it also indicates many particle correlations
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M.V. Fedorov , O.V. Kudravatova , V.P. Makarov , A.. Samokhin ,
№ 134 OH THE SEPARATION ОF ELECTRON AND NUCLEAR MOTIONS IN A MOLECULE IN АN INTENSE ELECTROMAGNETIC WAVE
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The separation of electron and nuclear variables is considered for a molecule in an intense electromagnetic field with frequency close to some electron transition frequency. In this case the electron potential curves are essentially modified and a new branch of the vibrational spectrum can appear which has no counterpart in the original spectrum
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E.V. Doktorov , I.A. Malkin , V.I. Man’ko ,
№ 142 Dynamical symmetry of vieronic transitions in polyatomic molecules and the franck-condon principle.
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I.A. Malkin , V.I. Man’ko ,
№ 155 Coherent states and adding formulas for hermite polynomiais of several variables.
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M.V. Felorov , V.P. Makarov , A.A. Samokhin ,
№ 189 Comments on «multiphton process in homopolar diatomic molecules», «perturbation theory in clised form for heteronuclear diatomic molecules», and «multiphoton process in heteropolar diatomic molecules».
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