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ON THE MOTION OF THE INTERFACE BETWEEN TWO PHASES IN SUPERCONDUCTING THIN FILMS

R. A. VOLKOV, V. I. SKOBELKIN
1970 SovietRxiv: ru-197001.99204

The paper analyzes propagation of the boundary between superconducting and normal phases in type-II superconducting thin films, where the film thickness is small compared with the magnetic-field penetration depth. Starting from the Maxwell-London equations, the authors introduce current functions fo…

DISPERSION CURVES OF MAGNETIC ROTATION AND OF THE REFRACTIVE INDEX OF THE La$^{3+}$ ION IN AN AQUEOUS LaCl$_3$ SOLUTION

R. M. Shuknrova, E. F. Yamshchikov
1970 SovietRxiv: ru-197001.98768

This paper examines the relationship between magnetic rotation dispersion and refractive index dispersion for the diamagnetic La3+ ion in aqueous lanthanum chloride solution, with particular attention to Becquerel’s formula and Serber’s coefficient. Refractive index dispersion was measured interfero…

THE ELECTRONIC SPECTRUM OF COPPER NEAR THE FERMI SURFACE

V. V. Dyakin, R. F. Egorov, V. P. Shirokovskii
1970 SovietRxiv: ru-197001.97531

This paper constructs an analytic representation of the electron dispersion law of copper near the Fermi surface using a truncated Fourier expansion fitted by least squares to previously calculated ab initio energy values. The resulting five term expression reproduces the selected energies with a ma…

A NEW ELECTROSTRUCTURAL PHENOMENON

L. K. Vistin
1970 SovietRxiv: ru-197001.96371

The paper reports an electrostructural effect in oriented nematic liquid-crystal films, studied mainly in n-azoxyanisole with analogous observations in n-azoxyphenetole and mixtures. By applying voltage to thin films and observing the transmitted light, film surface, diffraction patterns, polarizati…

A MODEL OF THE ACCUMULATION AND REDISTRIBUTION OF THERMAL ENERGY IN AN ATMOSPHERIC LAYER

S. V. Pshenay-Severin
1970 SovietRxiv: ru-197001.95917

This paper proposes a model for the accumulation and redistribution of thermal energy in an atmospheric layer where heat transfer is intermittently blocked and released by free convection. Using the heat conduction equation with an effective thermal diffusivity that switches between an accumulation …

An Efficient Method for Solving the Radiative Transfer Equation in Low-Temperature Plasma

V. Ya. Gol'din, B. N. Chetverushkin
1970 SovietRxiv: ru-197001.90668

This paper proposes an averaged formulation for the radiation transport equation in low-temperature plasma, addressing cases where strong nonmonotonic spectral dependence of the absorption coefficient makes conventional Planck, Rosseland, or multigroup averaging inefficient or inaccurate. For plane-…

ON THE REGULARIZATION OF SINGULAR OPERATOR EXPRESSIONS IN QUANTUM FIELD THEORY

V. P. Gachok, A. V. Zolotaryuk, Ya. M. Yakymiv
1970 SovietRxiv: ru-197001.89928

The paper proposes a regularization of singular operator expressions in quantum field theory, applied to the Hamiltonian of the scalar fourth-power interaction. It constructs a modified Fock-type Hilbert space using a positive symmetric kernel and defines corresponding analogues of annihilation and …

On the Spectrum of Acoustic Turbulence

V. E. Zakharov, R. Z. Sagdeev
1970 SovietRxiv: ru-197001.88827

This paper analyzes the spectrum of acoustic turbulence in a compressible potential flow represented as an ensemble of interacting sound waves. Using normal wave variables, resonance considerations, and dimensional Kolmogorov-type arguments, it estimates the nonlinear interaction cone and interactio…

ON A PRINCIPLE UNDERLYING CLASSICAL PHYSICS

Yu. I. Kulakov
1970 SovietRxiv: ru-197001.88691

The paper formulates a mathematical principle intended to express the equivalence of physical objects with respect to a physical law, called phenomenological symmetry. It defines physical structures on two sets through analytic functional relations invariant under permutations of selected elements, …

ON THE POSSIBILITY OF SYNTHESIS OF NUCLEI OF DIFFERENT CHARGES IN A PLASMA WITH A STRONG ELECTRIC CURRENT

E. Ya. VILKOVISKIĬ
1970 SovietRxiv: ru-197001.88341

The paper examines whether impurity ions of higher charge in a plasma carrying a strong electric current can attain directed energies sufficient for nuclear synthesis with the principal ions. Using Gurevich’s two stationary states of impurity ion motion under Coulomb conductivity, it estimates react…

ROTATIONAL SPECTRUM OF THE WATER-VAPOR DIMER

A. A. Viktorova, S. A. Zhevakin
1970 SovietRxiv: ru-197001.86151

The paper refines earlier calculations of the microwave and far-infrared rotational absorption spectrum of the water-vapor dimer, using a linear rigid dimer model with hindered internal rotation about the hydrogen bond. Replacing the harmonic approximation for the torsional barrier by a cosine poten…

On the Motion of Particle Spin in a Storage Ring with an Arbitrary Field

Ya. S. Derbenev, A. M. Kondratenko,
1970 SovietRxiv: ru-197001.85548

The paper develops a general treatment of spin motion for particles in storage rings or accelerators with arbitrary electromagnetic fields, assuming the existence of a closed equilibrium orbit. It gives a physically transparent derivation of the spin precession equation including Thomas rotation, th…

SHORT-PERIOD PULSATIONS OF THE PULSAR CP 0808 AND THE MAIN CHARACTERISTICS OF ITS RADIO EMISSION IN THE METER-WAVE RANGE

V. V. Vitkevich, Yu. P. Shitov
1970 SovietRxiv: ru-197001.85091

Observations of the pulsar CP 0808 at 60 to 110 MHz with the Pushchino DKR-1000 radio telescope are analyzed to characterize its meter-wave radio emission and short-period subpulse behavior. The study finds that pulses consist of one to three subpulses separated on average by 53.6 ms, forming a clas…

ON SOME APPLICATIONS OF SPECIAL COORDINATE CONDITIONS IN A. EINSTEIN’S THEORY OF GRAVITATION

M. F. Shirokov
1970 SovietRxiv: ru-197001.83981

The paper examines special noncovariant coordinate conditions in general relativity defined by setting selected components of gravitational energy, momentum pseudotensors to zero. It argues that, although such conditions appear nonlinear and unusual, they are satisfied by several exact solutions and…

ON GRAVITATIONAL PRESSURE IN FRIEDMANN–LOBACHEVSKY SPACE

I. G. Fikhtengol'ts
1970 SovietRxiv: ru-197001.83789

This paper examines gravitational pressure in a conformally flat Friedmann-Lobachevsky space with metric tensor proportional to the Minkowski tensor. It derives expressions for the Christoffel symbols, curvature tensor, and Einstein equations in terms of the conformal factor, then specializes to a d…

ON THE FORMULATION OF EQUATIONS FOR SCATTERING WITH REARRANGEMENT IN THE COORDINATE REPRESENTATION

A. M. Brodskii, V. G. Levich
1970 SovietRxiv: ru-197001.82951

The paper formulates the three-fragment scattering problem with rearrangement in coordinate representation, focusing on energies where only two-fragment bound reaction channels are open. By decomposing the total wave function into channel components, the authors derive Faddeev-type nonsingular integ…

STABILITY OF A FINITE-PRESSURE PLASMA WITH TRAPPED PARTICLES

A. B. Mikhailovskii, A. M. Fridman
1970 SovietRxiv: ru-197001.82699

This paper examines the stability of a magnetically confined plasma with trapped particles when the plasma pressure is finite, extending earlier zero pressure considerations of trapped particle instability. Using a qualitative electrostatic perturbation analysis, it compares the dielectric contribut…

ELECTRON PARAMAGNETIC RESONANCE SPECTRUM OF Cu(II) IN CESIUM PHOSPHATE GLASSES

L. D. BOGOMOLOVA, V. A. ZHACHKIN, V. N. LAZUKIN, N. F. SHAPOVALOVA
1970 SovietRxiv: ru-197001.80117

Electron paramagnetic resonance spectra of Cu(II) were measured in cesium phosphate glasses containing 20 to 50 mol.% cesium oxide and compared with sodium phosphate glasses of analogous compositions. Using room and liquid-nitrogen temperature EPR measurements and spin-Hamiltonian parameters, the st…

APPROXIMATE FORMULAS FOR THE POLARIZABILITY TENSOR AND CAPACITANCE OF BODIES OF ARBITRARY SHAPE AND SOME APPLICATIONS

A. G. Ramm
1970 SovietRxiv: ru-197001.79039

This paper derives approximation formulas for the polarizability tensor of a homogeneous dielectric body and for the electrostatic capacitance of a conductor of arbitrary shape. The formulas are expressed through surface integrals over the boundary, with error estimates showing geometric convergence…

QUASISYMMETRIC CONFORMALLY EUCLIDEAN SPACES AND A MATHEMATICAL MODEL OF THE SPACE–TIME CONTINUUM AS A WHOLE

V. G. Lemlein
1970 SovietRxiv: ru-197001.78940

The paper studies quasisymmetric conformally Euclidean spaces of dimension at least four and gives coordinate conditions for when such spaces are symmetric, including a classification of the real parts of their absolutes. It then applies this geometry to a relativistic cosmological model with nonzer…

On Integral Conservation Laws in General Relativity

N. P. Konopleva
1970 SovietRxiv: ru-197001.77968

The paper examines how integral conservation laws in general relativity can be derived from the covariant differential conservation law for a symmetric energy momentum tensor when spacetime admits a group of motions. By contracting the tensor with Killing vectors and applying Green’s formula in a Ri…

ON THE INFLUENCE OF ANHARMONICITY ON THE RELAXATION TIME UNDER ADIABATIC EXCITATION AND DEACTIVATION OF MOLECULAR VIBRATIONS

S. A. LOSEV, O. P. SHATALOV, M. S. YALOVIK
1970 SovietRxiv: ru-197001.76054

This paper examines how molecular anharmonicity affects the apparent vibrational relaxation time during excitation behind shock waves and during deactivation. Using shock tube ultraviolet absorption measurements for a 10 percent oxygen and 90 percent argon mixture and for nitrogen, the authors show …

TEMPERATURE DEPENDENCE OF STIMULATED AND UNSTIMULATED CURRENT IN POLYCRYSTALLINE CdSe AT 77–273° K

A. G. Gol'dman, M. M. Pyshnyi
1970 SovietRxiv: ru-197001.75779

The study investigates the temperature dependence of stimulated and unstimulated currents in polycrystalline cadmium selenide powder photoresistors between 77 and 273 K. Using sandwich-type cells measured in a cryostat after thermal resetting, the authors recorded current-voltage characteristics bef…

ON THE ORIGIN OF THE [OI] LINES IN THE SPECTRA OF SUPERNOVAE

V. G. Gorbatskii
1970 SovietRxiv: ru-197001.71934

This paper examines the origin of the forbidden neutral oxygen lines at 6300 and 6364 Å in type I supernova spectra, focusing on the supernova in IC 4182. It argues that the observed emission can be explained by fluorescence in an expanding, initially highly ionized hydrogen envelope, analogous to t…

ON SOME OSCILLATIONS IN RESONATORS WITH ROUND MIRRORS

V. P. Bykov
1970 SovietRxiv: ru-197001.70704

This paper analyzes ray oscillations in a two-dimensional open resonator formed by a circular mirror and a plane mirror. A finite-difference mapping for successive reflected rays is derived and linearized near the axial solution, then numerical calculations are used to identify nonresonant zones ass…

REFLECTION OF SOUND BY AN IMPEDANCE CORRUGATED SURFACE

Unknown
1970 SovietRxiv: ru-197001.70345

The paper studies reflection of a plane acoustic wave by a periodically corrugated surface whose boundary combines rigid convex arcs with straight segments satisfying an impedance condition. Using the Maliuzhinets formulation, the diffraction problem for the Helmholtz equation with quasiperiodicity …

LIFETIMES OF EXCITED NUCLEAR STATES ARISING IN THE α-DECAY OF Ra²²³ AND Bi²¹¹

A. P. Komar, A. A. Vorob'ev, Yu. K. Zalite, G. A. Korolev
1970 SovietRxiv: ru-197001.67667

A microwave delayed-coincidence method was applied to measure short lifetimes of excited nuclear states populated in the alpha decay of Ra-223 and Bi-211. The apparatus used phase-shifted microwave shutters for alpha particles and conversion electrons, with prompt-coincidence curves obtained by low-…

ON THE NATURE OF THE SPEED OF RESPONSE OF RADIATION DETECTORS MADE OF Cd$_x$Hg$_{1-x}$Te BASED ON THE PHOTORESISTIVE EFFECT

P. S. Kireev, A. V. Vanyukov, E. N. Figurovskii, Yu. V. Evseev, V. P. Dmitriev, A. N. Fedorovskiĭ, A. I. Ziborov, V. N. Martynov, V. S. Arakelyan, N. V. Karlov
1970 SovietRxiv: ru-197001.66204

This paper examines the spectral sensitivity and response speed of CdHgTe photoresistive radiation detectors intended for the 8 to 13 micrometer atmospheric window used by CO2 lasers. The authors synthesize and heat treat CdHgTe crystals, characterize carrier concentration and mobility by galvanomag…

INVESTIGATION OF THE E.P.R. OF THE Dy$^{2+}$ ION IN CaF$_2$ IN THE SHORT-WAVELENGTH PART OF THE SUBMILLIMETER RANGE

G. A. Zvereva, N. A. Irisova, T. S. Mandel'shtam, A. M. Prokhorov
1970 SovietRxiv: ru-197001.64369

This paper reports an electron paramagnetic resonance study of Dy2+ ions in CaF2 in the short wavelength submillimeter range near 0.34 mm at liquid helium temperature. Using a high resolution radiospectroscope, the authors measured resonance absorption lines for several orientations of the magnetic …

DISPERSION FORMULA FOR THE HYDROGEN ATOM IN THE GROUND STATE

M. I. Chibisov
1970 SovietRxiv: ru-197001.64171

The paper derives a dispersion formula for the dynamic optical polarizability of the hydrogen atom in its ground state. Starting from the quantum mechanical sum over discrete and continuous spectra, it analyzes an integral representation based on Green functions and uses contour integration in the c…

NONLINEAR SCATTERING OF LIGHT BY SMALL PARTICLES

A. A. Manenkov
1970 SovietRxiv: ru-197001.63690

This note proposes nonlinear light scattering by static optical inhomogeneities, such as impurities or inclusions in transparent media, as distinct from stimulated scattering seeded by dynamic fluctuations. Using the Rayleigh single-scattering approximation for small, widely separated spherical part…

ON THE USE OF FADDEEV EQUATIONS FOR CALCULATING THE ELECTRON SCATTERING LENGTH ON HYDROGEN

L. P. Kotova, M. V. Terent'ev
1970 SovietRxiv: ru-197001.63634

The paper examines the use of Faddeev equations with a separable Hilbert-Schmidt expansion of two-particle amplitudes for calculating zero-energy electron scattering on ground-state hydrogen. The authors derive integral-equation systems for singlet and triplet scattering lengths, exploit symmetry re…

Flux of Multiply Scattered Neutrons from a Point Source in an Infinite Medium

Yu. N. Drozhzhinov, O. B. Moskalev
1970 SovietRxiv: ru-197001.62990

This paper derives an analytic expression for the flux of singly scattered neutrons emitted by an isotropic monoenergetic point source in a homogeneous infinite elastically scattering medium. Using the fundamental solution of the transport operator, the authors separate the uncollided and once-colli…

CURRENT OSCILLATIONS IN β-CAROTENE FILMS

Yu. S. Shumov, G. P. Mikheeva, G. G. Komissarov
1970 SovietRxiv: ru-197001.62855

This paper reports measurements of low-frequency current oscillations in amorphous fused films of beta-carotene and in beta-carotene films containing protoporphyrin, using surface-type cells with tin electrodes under dark and illuminated conditions at room temperature. Oscillations appeared only in …

THE INFLUENCE OF THERMAL CONDUCTIVITY ON THE PROPAGATION OF A WAVE OF LASER-RADIATION ABSORPTION

P. P. VOLOSEVICH, E. I. LEVANOV
1970 SovietRxiv: ru-197001.62652

The paper examines how electron thermal conductivity affects the propagation of laser radiation absorption waves in vapor formed above a strongly heated solid surface. A one-dimensional gas-dynamic model with radiation absorption and heat conduction is solved numerically, and a traveling-wave formul…

ON THE IMPOSSIBILITY OF CRYSTALLINE ORDERING

E. M. Sorokina
1970 SovietRxiv: ru-197001.62192

This paper examines whether crystalline long-range order can exist in one- and two-dimensional classical many-particle systems with pair interactions at nonzero temperature. Using Bogolyubov’s quasi-average method and a classical analogue of Bogolyubov’s inequality, the argument relates a possible n…

Determination of the Electron Affinity Energy of Antimony and Bismuth Atoms by a Surface-Ionization Method Applicable to Elements with a Complex Vapor Composition

È. Ya. Zandberg, V. I. Paleev
1970 SovietRxiv: ru-197001.61649

This paper develops and applies a surface ionization method for determining electron affinity energies of atoms whose vapors contain atoms and molecules with temperature-dependent dissociation, a case not suited to earlier comparison techniques. The method compares mass-spectrometrically measured cu…

ON ONE PROBLEM FOR NONLINEAR EQUATIONS OF PLASMA DYNAMICS

V. I. Telegin
1970 SovietRxiv: ru-197001.61487

This paper studies a quasilinear system arising in a model of groove oscillations of a rarefied plasma cylinder in a strong external magnetic field. The system couples two transport equations for particle density distributions with a Poisson equation for the electric potential, with the initial data…

PECULIARITIES OF THE PROPERTIES OF BISMUTH LAYERS CONDENSED AT LIQUID-HELIUM TEMPERATURE

B. G. Lazarev, V. M. Kuz'menko, A. I. Sudovtsov, V. M. Melnikov
1970 SovietRxiv: ru-197001.61476

This paper investigates whether bismuth films condensed at liquid helium temperature, previously known to form a superconducting amorphous phase, exhibit a critical thickness beyond which this metastable phase disappears. High purity bismuth was evaporated in high vacuum onto glass substrates cooled…

EXISTENCE AND REGULARITY OF THE LIMITING GIBBS STATE FOR ONE-DIMENSIONAL CONTINUOUS SYSTEMS OF QUANTUM STATISTICAL MECHANICS

Yu. M. Sukhov
1970 SovietRxiv: ru-197001.61078

The paper studies one-dimensional continuous quantum statistical mechanical systems of bosons and fermions with binary interactions given by a finite potential with a hard core. It constructs the thermodynamic limiting Gibbs state on the inductive-limit C*-algebra for all positive activity and inver…