V.V. Dodonov , V.I. Man»ko , I.N. Prokopenya ,
№ 30 ASMPTOTIC DENSITY MATRIX ELEMENTS OF THE CANONICALLY TRANSFORMED OSCILLATOR НАMILTONIAN IN THE FOCK BASIS
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We study the asymptotic behaviour of the equilibrium density matrix elements corresponding to a Hamiltonian obtained from the oscillator Hamiltonian by a linear canonical transformation. The exact expressions and asymptotics of overlap integrals of the wave functions of a quantum harmonic oscillator Hamiltonian describing vibrational states of two-atomic molecules wore calculated by using of the-coherent states representation [«1.2] in refs.[3-4j. The authors of those papers obtained also relative intensities in the vibronic spectra of the molecules. Furthermore, they obtained asymptotics of the rotator wave functions for large quantum numbers, ( quasiolasslcal asymptotics ). The exact expressions for transitions amplitudes between the energy levels of the parametrically excited oscillator were calculated in ref. [5]. In ref. [б] the matrix elements of the equilibrium density matrix of the quantum oscillator subjected to a Bogolubov canonical transformation were calculated exactly in the Fook basis. The aim of this paper is to study the asymptotic behaviour of the matrix elements of the quantum oscillator equilibrium density matrix in the Pock basis for large quantum numbers. In essence we use the results obtained in refs. [1-5J for the evolution operator but reformulate then In terse of the density matrix, We also obtain the asymptotic expressions for the two-dimensional Rerwite polynomials.
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O.D. Dalkarov , V.A. Karmanov ,
№ 55 SCATTERING OF LOW ANTIPROTONS FROM NUCLEI
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It is shown that mechanism of low energy antiproton scattering from nuclei Is given by Glauber model, including Coulomb effectsс the cross sections for elastic and inelastic (with excitation of nuclear level) scattering of p from 12C and 160 and also for elastic scattering from 40Ca and 208 are calculated without any fro* parameters. Calculations are in good agreement with LEAR data. She differential cross section e for nuclear level excitation with a given spin projection of excited nucleus on beam direction are also predicted. They determine an angular ? — quanta distribution is reaction (p0 p?)0 She real-to-imaginary ratios of pN scattering amplitude are found free antiproton-nuscleus cross sections An diffractive minimaume at energies 46.8 end 179.7 MeV. which also agree with LEAR values of this ratio. Antiproton-nucleus option! potential and scattering lengths are calculated* Shifts of 3d-levels of antiproton atoms P12C sad p160 pre estimated, which are la good agreement with experimen
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A.D. Linde ,
№ 65 GENERATION OFISOTERHMAL DENSITY PERTUBATIONS IN THE INFLATIONARY UNIVERSE
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It is shown that not only adisbatic perturbations of density but also isothermal density perturbations are generated in the inflationary universe. The magnitude of the isothermal perturbations can be sufficiently large for the subsequent galaxy formation. The spectrum of isothermal perturbations in some models in different from the flat one.
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O.D. Dalkarov , V.A. Karmanov ,
№ 75 THE REAL-TO-IMAGINARY RATIO OF HADRON-NUCLEON AMPLITUDE FROM HADRON-NUCLEUS SCATTBRRING
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It is shown that In eikonal approximation the differential cross-section magnitude in the minimus for hadron-nucleus scattering la determined by real-to-imaginary ratio of elementary amplitude. This could be used as an independent method for finding real-to-imaginary ratio of badron-nucleon amplitude. Using the proposed method this ratio for рN amplitude from antiproton-nucleus scattering (LEAR data) la found.
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V.A. Karmanov ,
№ 76 RELATIVISTIC DEUTERON WAVE FUNCTION FROM CROSS SECTION OF THE REACTION ed->enp
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It is shown that the ooincidence experiment d(e,e’p)n would allow to choose unambiguously one of the following three variants of the relativistic deuteron wave function (WP): 1). Light front VP parametrised in term of K1 X taken separately.
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A.M. Akulshin , V.L. Velichanski , M.V. Zverkov , A.S. Zibrov , V.V. Nikitin , V.A. Sautenkov , E.K. Yurkin , O.G. Ochotnikov ,
№ 99 NONLINEAR DOPPLER FREE ВРЕCTRОCOPY OF RESONANCE LINES OF CAESIUM, POTASSIUM AHD RUBIDIUM PERFORMED WITH DICDE LASERS
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A tunable Junction laser with external selective cavity and the generation llnewidth of leas than 1 MHz baa been made. A new method has been devised for a wide-range continuous frequency tuning based on the self-stabilisation of the single-frequency lacing. Using this method we Inves?tigated the Doppler-free saturation resonances arising due to optical pumping of the ground-state sublevels on D-lines of potassium, rubidium and caesium. She spectral resolution achieved is limited by natural linewldth of the resonance atomic linens.
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Е.Г. Бессонов ,
№ 105 О ВЛИЯНИИ УГЛОВОГО И ЭНЕРГЕТИЧЕСКОГО РАЗБГОСА В ПУЧКЕ ЧАСТИЦ НА СПЕКТРАЛЬНО-УГЛВУЮ ИНТЕНСИВНОСТЬ И КОЭФФИЦИЕНТ УСИЛЕНИЯ ИСТОЧНИКОВ ОНДУЛЯТОРНОГО ИЗЛУЧЕНИЯ
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The analytical expressions for the spectral angular intensity of spontaneous incoherent undulatory radiation and the gain of free electron lasers are derived, when the angular and energy spread of the electron bean la not negligible. The method of the introducing of parameter is used. The examples of homogeneous and gaussian beams are considered. The nonlinearity of the magnetic fields of the undulator le taken into account.
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E.M. Serebriany , V.F. Frolov ,
№ 106 VACUUM POLARISATION BY THE MAGNETICFLUX: THE AHARGNOV — BURN EFFECT
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V.F. Barashev , Sh.M. Shavrtsman ,
№ 106a POLARIZATION OPERATOR IN QUANTUM ELECTRODYNAMICS WITH PAIR CRESTING EXTERNAL FIELDS
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Within quantum electrodynamics with pair creating external field [1,2] radiational processes with оne-photon initiai state are considered for the case of a constant electric field, Their probabilities are shown to be expressed in term of different polarization operators. The polarization operator defined S(x,x1) ?The one which has not been calculated before ? is found within one-loop approximation. This polarization operator is involved in the decay probabilities of one-photon state and the probability of creation of N arbitrary pairo by a photon.
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V.I. Zoller ,
№ 107 QUASIEIKONAL AND NUCLEI СRОSS SECTIONS
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The applicability of quasieikonal approximation to description of inelastic corrections to nuclear cross-sections is discussed.
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A.I. Nikishov ,
№ 114 S-MATRIX IN QUANTUM ELECTRODYNAMIICS WITH PAIR GREATING EXTERNAL FIELD
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It is shown that the Furry picture of the X-maatrix formalism remains unchanged when a pair creating external field (switched off for t? is included. The formalism is completely equivalent to the Fеупаmn theory. The notion of inclusive probability is introduced j it is free of information on pair creation unconnected with the considered process. Several examples, of using the optical theorem are given and the peculiarities due to pair creating field are exhibited.
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V.L. Ginzurg ,
№ 131 RADIATION BY UNIFORMLY MOVING SOURCES (VAVILOV-CHERENKOV EFFECT, DOPP;EFFECT IN A MEDIUM, TRANSITION AND RELATEDPHENOMENA)
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Unfomly and rectilinearly moving charges and other sources with zero eigenfrequency do not radiate in vacue (same provisos should be made here). In the case of motion in a medium, on the contrary, the absence of radiation is rather an exception. So, radiation is absent if in non-moving, homogeneous and time-independent medium a charge moves uniformly at a velocity V, smaller then the phase velocity Cph, for all waves that can propagate in this medium.
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V.L. Гинзбург ,
№ 134 Some Remarks on Ferroelectrioity, Soft Modes and Related Рrоlеms
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The contents of the author’s papers devoted to the phenomenological theory of ferroelectrics and the soft-mode concept are elucidated. Some remarks are made concerning the range of applicability of the Landau theory in the case of ferroelectric phase transitions. Connection between ferroelectricity, soft modes and high-temperature superconductivity is also discussed.
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N.G. Basov ,
№ 147 THE HISTORY OF LAZERS
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V.V. Usov ,
№ 166 ?-Quantum Conversion into Positronium Atoms in Pulsar Magnetospheres
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The curvature ?-quanta emitted la the pulsar magnetospheres tangentially to the curved lines of force of the magnet lo field are shown to be later canalised along the magnetic field — if it is strong enough, В > 0.1 Ber = 4.10 Gg — by gradually converting into a mutually bound electron-positron pair, i.e. a positronium atom. This happens before the photon reaches the threshold of free pair creation. The positronium thus arisen is stable against the ionising action of the electric field near the pulsar unless it reaches a critical value about 4*10 CGSE for. This prevents the screening of the electrlc field up to the distan?ces from the pulsar, where the magnetic field is already below the value of 0.1 Вcr and the free pair creation mау Ьcause essen?tial. This effect provides a higher theoretical estimate for the total luminosity of pulsars (whose field at the surface Bs exceeds 0.1 Bcr) as compared to the conventional one.
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S.P. Baranov , V.F. Gruahin , A.A. Komar , E.V. Telyukov , A.A. Shikanyan ,
№ 174 The contribution of charmed particles production and decayto multimuon events in deep inelastic N scattering.
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A program for computer simulation of charaed particles production and decay in deep-inelactio N scattering is created. The contribution of this process to mulltimuon events has been analysed.
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M.A. Vasiliev ,
№ 181 » Some properties of generalied (хz2)n — graded lie algebras and generalized de sitter supersymmeyry».
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Properties of generalized (х Z2))n — graded Lie superalgebres are considered. In particular, the relation le described between algebras with different N, as well as between their automorphisms, conjugations, involutions etc. A number of «Z2x^Z2 -graded generelized Lie superalgebras, containing the de Sitter subelgebras 0(3,2) and 0(4,1), are constructed. It is shown that most of these algebras do not have unitary maseless-particle representations. A class of Z2xZ2 -graded algebras Is found possessing unitary massless-particle representations and leading to consistent super-gravity theories. It is demonstrated, however, that these theories are equivalent to the usual aupergravlty theories being connected with them by appropriate Klein transformations. Twe curious algebras are found, leading to supergrevity theories possessing ghosts in the fermion sector only.
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E.G. Maksimov , I.I. Mazin , S.N. Rashkeev , Yu.A. Uspenskii ,
№ 188 The first-Principle Calculation of the Optical Properties of Transition Metals.Electron Energy Loss Spectra.The Optical Properties in the Infrared Region.
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E.G. Maksimov , I.I. Mazin , S.N. Rashkeev , Yu.A. Uspennski ,
№ 189 Microscopital calculations od optical properties of metals.
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T.S. Fradkin , A.A. Tseytlin ,
№ 193 Now-linear electrodynamics from quantizedstrings.
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We compute the efiective action for an abelian vector field coupled to the virtual open Bose string. The problem is exactly solved (in the «tree» and «one-loop» approximation for the string theory) for the case of a constant field strength and the number of space-time dimensions D = 26. The resulting tree-level effective lagrangian is shown to oolncide with the Born-Infeld lagranglan, det(b +2пd’F )
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F.I. L , V.A. Petrun ,
№ 303 Piow polarizabilities and H(1190)-mesow
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Sum rules (SE) for the pion polarizabilities and have been saturated. The accounting of H-meson with the width is shown to remove a discrepancy between predietions of the Sr and chiral models. The calculated values (in units of 10 fm3) agree well with experimental data.
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A.M. Semikhatov ,
№ 339 Harmonicsuperspaces and division algebras
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The Idea that there exists a deep correspondence between supersymmetry and the division algebras А,л, V 1, 2, 4, 8, Is shown to apply to the notion of harmonic superepece which, having been introduced recently, has revived hopes for constructing d 10, N= 1 super Yang-Mills theory in a superspace off the mass shell. In the present paper, a uniform construction of harmonic superspaces associated to the algebras A in proposed whloh reproduces the known approach to d=4, N = 2 theory provided the quaternions are used, while for d=10, N =1 thecry. On this superspace, we refornulate the equations of notion and also identify a torsion of an almost complex structure on the sphere S6 as an obstruction to constructing a Lagrengian of the type which exists in d=4, N=3 theory. The maximally extended theory in three dimenssions is also discuseed.
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