V. D. Zakharov
This paper studies vacuum space-times admitting a covariantly constant vector field and relates them to Petrov type N gravitational fields. It derives a general coordinate form of the metric with six functions subject to four vacuum field equations, shows that the associated parallel vector is null …
A. V. Efremov, V. A. Matveev, A. N. Tavkhelidze, A. A. Khelashvili
This paper examines the relation between two approaches to deriving sum rules for form factors: charge algebra combined with dispersion relations, and current density algebra. Starting from equal-time commutation relations for current-like operators, the authors derive matrix-element relations using…
I. G. Fikhtengol'ts
This paper reformulates Einstein’s gravitational equations using three-dimensional tensor analysis in a conformal space whose metric is related to the time-dependent spatial metric by a scalar factor. It derives expressions for the temporal, mixed, and spatial components of the four-dimensional curv…
L. N. Ionov, I. A. Akimov, A. N. Terenin
This paper investigates photoconductivity in organic dyes at microwave frequencies as a way to reduce distortions caused by contacts, grain boundaries, electrodes, and surface effects in heterogeneous powder and film samples. Using a resonator method at about 9600 MHz, the authors measured light-ind…
V. N. Sobakin
This paper develops a quantum theory of the unsteady photomagnetic effect in semiconductors in the regime of quantizing magnetic fields, where the usual quasiclassical kinetic treatment may fail. Using a density matrix description of electron and hole motion with isotropic dispersion and impurity sc…
V. B. Gostev, A. R. Frenkin
This paper studies single-nucleon states in an exactly solvable fixed-source field-theoretic model containing three heavy fermion states and a relativistic boson, as a generalization of the Lee model motivated by meson-nucleon resonances. The Schrödinger equation for the physical A-particle is reduc…
L. F. Vereshchagin, E. V. Zubova, I. P. Buimova, K. P. Burdina
This paper addresses the need for direct pressure measurement in the range approaching 100 kbar, beyond the reliable range of earlier free-piston manometers and extrapolated calibration methods. The authors describe a free-piston manometer in which piston geometry, rotation, and lubrication are used…
L. Sh. Khodzhaev
The paper formulates a representation of states for systems of several noninteracting quantized fields of arbitrary spin, motivated by the study of general properties of the S-matrix. It constructs a countably normed space of regular multiparticle states, embeds it in a rigged Hilbert space, and des…
L. D. Bogomolova, V. N. Lazukin, I. V. Chepeleva
Electron paramagnetic resonance was studied for manganese-doped glassy Tl2SeAs2Se3 samples containing 0.1 to 1 wt.% Mn at 300, 77, and, for one sample, 4.2 K. The spectra generally contain two resonance lines, with g approximately 4.3 and g approximately 2, whose intensities, widths, and temperature…
I. P. Zapesochnyĭ, L. L. Shimon
The study addresses the lack of absolute experimental data on electron-impact excitation cross sections for the resonance doublets of cesium and rubidium, where measurements are complicated by self-absorption of resonance radiation. A movable-window excitation tube was developed to vary the absorbin…
Yu. N. Dnestrovskii, D. P. Kostomarov
This paper examines the influence of a plasma’s self-consistent radial electric field on low-frequency groove-type instability in a rarefied, inhomogeneous, uncompensated ion-electron plasma in a weakly nonuniform magnetic field. Starting from a drift-approximation differential equation for longitud…
L. V. Dubovoi, V. P. Fedyakov
This paper reports experiments on confinement of high-temperature deuterium plasma with hot electrons in a magnetic mirror trap, using turbulent heating produced by a pulsed direct discharge. Plasma energy and electron temperature were inferred mainly from diamagnetic measurements of magnetic-flux e…
Nguyễn Văn Hiêu, A. N. Tavkhelidze
The paper addresses claims that invariance under broken SL(6) symmetry is incompatible with S-matrix unitarity. It argues that the contradiction arises only if strict SL(6) invariance is imposed on physical amplitudes, whereas the appropriate formulation introduces 36-dimensional momenta, for which …
V. P. Shelest
The paper examines how three-particle forces can be incorporated into the relativistic three-body scattering problem formulated through Faddeev-type integral equations and Bethe-Salpeter kernels. Starting from the pair-interaction case, it derives coupled equations for transition amplitudes involvin…
I. V. Chepeleva, V. N. Lazukin, S. A. Dembovskii
Electron paramagnetic resonance was studied in glassy Tl2SeAs2Se3 samples doped with 0.2 to 0.5 wt.% gadolinium, using spectra recorded from room temperature down to liquid helium temperature and compared with gadolinium-doped As2Se3 glass. The Tl2SeAs2Se3 spectra were complex but reproducible, with…
V. N. Svechnikov, V. M. Pan, Yu. I. Beletskii
This study examines how the homogeneity region of the beta phase in the niobium-tin system relates to the superconducting properties of Nb3Sn, particularly the observed dependence on heat-treatment temperature. Alloys with varied tin content were prepared, annealed at temperatures from 700 to 1800°C…
Yu. T. Mazurenko
This paper examines how Kirchhoff’s law is manifested in gamma spectroscopy, where nuclear absorption and fluorescence lines are displaced from one another by photon recoil rather than coinciding as in the optical region. It compares the frequency contours required by Kirchhoff’s relation with line …
V. N. Baier, V. M. Katkov
This paper analyzes the production of neutrino, antineutrino pairs by an electron moving in an external magnetic field, treating the process within the universal V-A theory of weak interactions. Using electron wave functions in a magnetic field and quasiclassical asymptotics for high Landau levels, …
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This paper examines whether an outwardly increasing magnetic field, known to suppress flute instability in low beta plasma traps, also stabilizes drift instability. Using a simplified cylindrical geometry with rarefied plasma, hot electrons, cold ions, quasineutrality, ion fluid equations, and a dri…
V. V. Mazhuga
This paper analyzes the classical dynamics of an atom colliding with and adsorbing on the surface of a solid, modeled as interaction with the end atom of a semi-infinite harmonic chain. Using generating functions and Laplace transforms, it derives closed-form solutions for the relative displacement …
A. T. Fialkovskii
This paper develops an approximate theory of open electromagnetic resonators formed by two parallel disks for the case of large axial wave number product. Using reflection coefficients for waves near the critical frequencies of an open-ended plane waveguide, it derives impedance boundary conditions …
G. M. Malyshev, G. V. Ostrovskaya, G. T. Razdobarin, L. V. Sokolova
This paper reports an experimental determination of electron temperature and concentration in a direct-current helium arc plasma in an axial magnetic field using Thomson scattering of ruby laser radiation. Scattered light from a small plasma volume was observed at 90 degrees, separated from plasma g…
M. E. Palistrant, V. A. Moskalenko
This paper examines how electron Coulomb interaction modifies the critical temperature and isotope effect in a two-band model of a superconductor, including the case of a nonmagnetic impurity. Using the Bardeen-Pines Hamiltonian, the authors derive the screened boson Green’s function, obtain coupled…
B. I. Kochelaev
This paper analyzes how spin, phonon interaction in a paramagnetic crystal modifies the Rayleigh light scattering line when phonon energies are close to splittings between spin levels of paramagnetic ions. Using Green’s functions for phonon correlation functions and a weak interaction truncation, it…
V. Z. Bengus
This paper proposes a model of dislocation structure that emphasizes the finite disordering energy and threshold stability of a crystal lattice near a dislocation axis. It defines a “physical core” as the region where dislocation-induced shear strain reaches the critical value for lattice instabilit…
B. L. Livshits, S. N. Stolyarov, V. N. Tsikunov
The paper analyzes how excitation diffusion affects multimode generation in a Fabry Perot quantum generator, focusing on axial modes at pump powers not restricted to the immediate threshold region. It solves stationary coupled equations for the inverted population and photon densities by successive …
A. V. Shut'ko
This paper develops an exact quasilinear treatment for a simplified two-beam plasma instability model in which electrons are injected symmetrically with velocities ±v0 and removed with a characteristic lifetime. Because monoenergetic beams do not permit the usual separation of a small resonant-parti…
V. I. Osherov
This paper treats electron detachment into the continuous spectrum during collisions of a negative ion with an atom, removing restrictions of earlier classical and point-interaction approximations. A quantum model is formulated for nuclear motion involving one sloping term coupled to a continuum, so…
A. A. Grekov, V. A. Lyakhovitskaya, A. I. Rodin, V. M. Fridkin
This paper reports an optical method for observing the ferroelectric phase transition in SbSJ single crystals, based on the long-wavelength shift of the intrinsic absorption edge and the associated change in band gap near the Curie temperature. Thin crystal plates grown from the gas phase were exami…
G. M. Zaslavsky, A. M. Fridman
This paper studies the one dimensional motion of a quasiclassical particle in a potential whose periodic structure is slowly distorted by spatially varying parameters. It develops a transfer matrix and WKB based method for incorporating nonquasiclassical corrections near band edges, where accumulate…
E. S. Mashkova, V. A. Molchanov, È. S. Parilis, N. Yu. Turaev
This study investigates the predicted fine structure in the high energy part of the spectrum of ions scattered from single crystal surfaces. Argon ions of 30 keV were directed at the (100) and (114) faces of copper, with measurements at a scattering angle of 50 degrees and varying grazing angles, an…
M. A. Podurets
This paper examines the analytic nature of the singularity that arises during spherically symmetric gravitational collapse of a star in comoving coordinates. Starting from the relativistic field equations for a collapsing fluid, it analyzes the neighborhood of the collapse line where the radius tend…
V. I. Ogievetskii, I. V. Polubarinov
The paper constructs interacting theories for a neutral massive symmetric tensor field constrained to exclude the spin 1 component and one scalar component through a generalized Hilbert-Lorentz supplementary condition. Using variational identities for tensor and scalar fields, the authors derive adm…
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This paper addresses the effective magnetic permeability, electrical conductivity, dielectric permittivity, and thermal conductivity of composite media containing dispersed spherical or ellipsoidal inclusions, a problem motivated by petrophysical and geophysical applications. Using magnetic permeabi…
D. Ya. Petrina
This note studies the holomorphic continuation of contributions of connected four point Feynman diagrams for scalar particles of equal mass, expressed through parametric integrals in the Mandelstam variables. Starting from a known domain of holomorphy and the associated Landau surfaces of the origin…
A. A. Sokolov, I. M. Ternov
This paper develops a quantum electrodynamic treatment of induced transitions for an electron moving in a constant homogeneous magnetic field under an incident electromagnetic wave. Starting from the Dirac electron states in a magnetic field, the authors introduce damping through a finite level life…
L. K. Izraileva
This paper examines the limits of a perturbative theory for calculating short-wavelength K-absorption spectra of polycrystalline samples, in which the crystal potential is replaced by its spherical average around the absorbing atom. By expanding the periodic potential in reciprocal-lattice component…
B. V. Kuksenko, V. B. Leonas, S. A. Losev, A. I. Osipov
This paper examines assumptions in the theory of vibrational relaxation in molecular collisions, especially the use of harmonic oscillators, perturbative treatments, and linear head-on collision models. Using classical mechanical calculations for atom and molecule impacts on diatomic molecules, incl…
V. V. Struminskii
This paper addresses the solution of the hierarchy of kinetic equations for gases, with particular attention to the transition from reversible microscopic evolution to irreversible behavior and the emergence of molecular chaos. Using a modified small-parameter method, it separates fast reversible pr…
A. A. Sokolov, B. K. Kerimov, I. G. Dzhafarov, R. Sh. Yakhyaev
This paper analyzes particle structure and polarization effects in electron or muon pair annihilation into proton and antiproton pairs, and in the inverse reactions, within the one photon approximation. Allowing both proton and lepton vertices to have Dirac and Pauli form factors, the authors derive…
A. M. Yaglom
The paper examines how fluctuations in the local rate of kinetic energy dissipation affect inertial-range turbulence statistics, addressing limitations of the classical two-thirds and five-thirds laws. It develops a cascade-based argument, consistent with lognormal assumptions for spatially averaged…
L. D. Kislovskii, E. K. Galanov
This paper examines the molecular mechanism of the phase transition in ferroelectrics isomorphous with triglycine sulfate, focusing on the role of tetrahedral sulfate, selenate, and fluoroberyllate groups. Using polarized infrared reflection spectra of oriented single-crystal sections, the authors r…
È. H. Boos, Zh. S. Takibaev, R. A. Tursunov
This study examines coherent diffraction production of pion mesons by 19.8 GeV/c protons in Ilford G-5 nuclear emulsion, focusing on three-prong interactions consistent with proton dissociation. Secondary particles in 179 events were identified using ionization losses and multiple Coulomb scattering…
A. B. Mikhailovskii
This paper develops a nonlinear treatment of the drift-cone instability in an inhomogeneous magnetized plasma confined in an adiabatic trap, focusing on the particle losses produced when the ion transverse-velocity distribution contains a loss cone. Starting from the linear dispersion relation for h…
L. S. Solov'ev
This paper derives an approximate integral for magnetic field lines with a large longitudinal component in an arbitrary periodic curvilinear geometry, using an averaging method to define magnetic surfaces. The resulting expression is applied to toroidal configurations to analyze how small magnetic-f…
Yu. A. Izrael
This paper examines the formation of radioactive fallout particles and isotope fractionation during shallow underground nuclear explosions that eject soil, with emphasis on how these processes differ from surface and air bursts. Using calculations for a Sedan-type explosion in water-bearing alluvium…
P. E. Krasnushkin
The paper formulates a general boundary value problem for long and superlong radio wave propagation around the Earth in a spherical, layered medium consisting of the Earth, atmosphere, and anisotropic ionosphere. It develops a coupled line method in which the electromagnetic field is expanded in nor…
N. G. Basov, V. N. Morozov, A. N. Oraevsky
This paper analyzes undamped intensity pulsations in quantum generators through a nonlinear equation governing laser radiation intensity. It derives the integral of motion and asymptotic periodic solutions of the associated conservative equation, focusing on the large modulation depth regime where t…
I. P. Bazarov
This paper addresses the defect of the self-consistent field equation in statistical mechanics, namely its inclusion of particle self-energy and its limited applicability to homogeneous liquids and gases. Starting from the first Bogolyubov equation for correlation distribution functions, it proposes…
G. A. Gurzadyan
This paper proposes that late-type flare stars may produce detectable cosmic X-ray radiation during flares, motivated by the appearance of the He II 4686 Å line and the implied presence of sufficiently energetic photons or particles. It develops an inverse Compton interpretation in which infrared ph…