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A theorem on statistical averages for Pauli operators

S. V. TYABLIKOV, V. A. MOSKALENKO
1964 SovietRxiv: ru-196401.15487

This note develops an analogue of the Wick, Bloch, and de Dominicis theorem for statistical averages of products of Pauli operators with respect to a free Hamiltonian. Using the Pauli operator commutation relations and elementary identities for thermal traces, the authors derive recursive formulas t…

Paramagnetic Relaxation in Solutions of Vanadyl Salts

Unknown
1964 SovietRxiv: ru-196401.15478

Spin-lattice and spin-spin electron relaxation were measured in aqueous vanadyl salt solutions with varying acid content, in aqueous-glycerol mixtures, and in powders of vanadyl chloride and vanadyl sulfate. Increasing hydrochloric acid concentration was found to shorten the spin-lattice relaxation …

THE INTERNAL PHOTOEFFECT IN ACETYLENE POLYMERS

Unknown
1964 SovietRxiv: ru-196401.14462

The study examines the internal photoeffect and photosemiconducting behavior of several newly synthesized acetylene polymers containing phenyl, anthracene, nitrophenyl, naphthyl, and ether-linked structural units. Photovoltaic response and transverse photoconductivity were measured in air and vacuum…

Quantum Oscillations of the Contact Potential Difference of a Bismuth–Niobium Pair

B. I. VERKIN, L. N. PELIKH, V. V. EREMENKO
1964 SovietRxiv: ru-196401.12103

This paper reports an experimental observation of quantum oscillations in the contact potential difference of a bismuth, niobium pair in a pulsed magnetic field, motivated by theoretical predictions that the chemical potential of metals with small carrier groups should oscillate measurably. A capaci…

On the Nonstationary Emission of a Semi-Infinite Medium

Unknown
1964 SovietRxiv: ru-196401.11513

The paper studies time-dependent radiation emerging from a homogeneous semi-infinite medium with isotropic scattering, finite mean times for absorption and free flight, and a fixed quantum survival probability. Using a Laplace-transform method that derives nonstationary solutions from corresponding …

Effective magnetic fields at atomic nuclei in ferromagnets

F. M. GAL’PERIN
1964 SovietRxiv: ru-196401.11383

The paper addresses the calculation of effective magnetic fields at atomic nuclei in ferromagnetic metals and alloys, where existing theory is described as insufficient for comparison with experiment. It proposes empirical relations for the fields in Fe, Co, Ni, and several ferromagnetic alloys, sep…

Phase Transitions and Changes in the Structure of Nuclear Magnetic Resonance Lines in Beryllium Oxyacetate

Unknown
1964 SovietRxiv: ru-196401.10972

The study investigates how phase transitions affect proton NMR line shapes and moments in polycrystalline beryllium oxyacetate over 20 to 200 degrees Celsius, with attention to methyl group motion and intermolecular interactions. Stationary measurements showed no change in line shape or moments from…

Rheological Properties and Supramolecular Structure of Rubber-Like Polymers

G. M. BARTENEV, Z. G. POVAROVA, Academician V. A. KARGIN
1964 SovietRxiv: ru-196401.10026

This paper examines anomalous rheological behavior in rubber-like linear polymers, focusing on polyisobutylene of several molecular weights at 60 to 120°C under controlled shear-rate and controlled-stress conditions. Rotational viscometry, molecular-weight checks by viscosity, and activation-energy …

Experimental determination of effective ionic charges in $\mathrm{A}^{\mathrm{III}}\mathrm{B}^{\mathrm{V}}$ compounds from X-ray diffraction data

Academician of the Academy of Sciences of the Belorussian SSR N. N. SIROTA, E. M. GOLOLOBOV
1964 SovietRxiv: ru-196401.10015

This paper addresses the sign and magnitude of effective ionic charges in sphalerite-structure III-V semiconductor compounds, a question central to understanding the partly ionic and partly covalent character of their chemical bonding. The authors determine effective charges for aluminum, gallium, a…

Discrete Model of Matter in the Problem of Rarefied Plasma Flow Around Bodies

M. V. MASLENNIKOV, Yu. S. SIGOV
1964 SovietRxiv: ru-196401.09847

A numerical method is presented for determining the self-consistent electrostatic field around an axisymmetric body in a rarefied plasma stream, where ion motion is treated collisionlessly and electron density is prescribed as a function of potential and ion density. The approach uses a discrete mod…

On Resonance-Induced Scattering and Radiation in a Medium

Unknown
1964 SovietRxiv: ru-196401.09842

This paper examines induced scattering, two quantum emission, and two quantum absorption by charged particles in a medium, with emphasis on the resonant regime near the Cherenkov condition. Using quantum electrodynamic perturbation theory supplemented by radiative corrections to the particle Green’s…

On the Phenomena of the Critical Magnetic Field and Anomalous Diffusion in Weakly Ionized Plasma

A. M. FRIDMAN
1964 SovietRxiv: ru-196401.08577

This paper analyzes the onset of noise and enhanced cross-field diffusion in a weakly ionized, inhomogeneous plasma at magnetic fields above a critical value, focusing on the frequency range between the ion and electron cyclotron frequencies where ordinary drift waves are damped. Using a hydrodynami…

Lagrangian of a Continuous Medium in Riemannian Space

Unknown
1964 SovietRxiv: ru-196401.07545

The paper derives a Lagrangian formulation for a relativistic continuous medium in Riemannian space, starting from the Hamilton Jacobi equation for a material point and extending it by replacing particle energy with the enthalpy per unit rest mass of the medium. It shows that the pressure can serve …

Photoconductivity with big light fluxes and the effective cross-section for bimolecular recombination in silicon

Unknown
1964 SovietRxiv: ru-196401.06441

The paper investigates photoconductivity in high-resistivity p-type silicon under large light fluxes, where recombination beyond the Shockley-Read trap mechanism may become significant. It develops and applies a piecewise description of the dependence of photoconductivity on light intensity, combini…

Macroscopic description of kinetic processes

A. M. KOGAN, L. I. ROZONOER
1964 SovietRxiv: ru-196401.02020

The paper proposes a general scheme for macroscopic descriptions of kinetic processes when slow variables, including nonequilibrium relaxing quantities such as heat flux or viscous stresses, are treated as independent. Starting from a phase-space cell representation and an intermediate mixing assump…

A New Variational Formalism in General Relativity

K. P. STANYUKOVICH
1964 SovietRxiv: ru-196401.01241

The paper proposes a variational reformulation of general relativity motivated by dimensional transformation arguments, claiming that the standard Einstein equations with constant gravitational coupling do not transform consistently under changes of distance and therefore are inadequate for the meta…

Effect of Collisions on Drift Instability in a Plasma with a Finite Ion Larmor Radius

A. B. MIKHAILOVSKII, O. P. POGUTSE
1964 SovietRxiv: ru-196401.00055

This paper examines how particle collisions affect drift instability in an inhomogeneous low-pressure plasma when the ion Larmor radius is finite. It proposes using a Bhatnagar, Gross, and Krook model collision term to extend the method of integration along trajectories to collisional plasma oscilla…

ON THE PROBLEM OF SOLVING THE COAGULATION EQUATION FOR RAIN DROPS WITH CONDENSATION TAKEN INTO ACCOUNT

Unknown
1963 SovietRxiv: ru-196301.99600

This paper examines the evolution of the size spectrum of rain drops in an ascending air current when both coagulation and condensational growth are considered. Assuming a collision probability proportional to the sum of the colliding drop volumes, the kinetic coagulation equation is transformed by …

A VARIATIONAL PRINCIPLE IN THE GENERAL THEORY OF RELATIVITY

Unknown
1963 SovietRxiv: ru-196301.98049

This paper proposes a generalized variational formulation of general relativity based on varying the scalar curvature density while retaining variations with respect to second derivatives of the metric and not imposing vanishing variations of the connection on the boundary. The argument derives the …

Quantum Oscillations of Magnetoresistance in $n$ - $\mathrm{InSb}$ in Strong Pulsed Magnetic Fields

Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV, R. I. BASHIROV,
1963 SovietRxiv: ru-196301.97718

This paper reports measurements of longitudinal and transverse magnetoresistance in n-type InSb single crystals of different carrier concentrations at 20 to 77 K in pulsed magnetic fields up to 400 kOe. The experiments observe Shubnikov de Haas oscillations quasiperiodic in inverse magnetic field, t…

Self-diffusion on the surface of polycrystalline silver

Unknown
1963 SovietRxiv: ru-196301.95763

This study examines self-diffusion on the surface of polycrystalline silver, a process relevant to kinetic phenomena in solids and to the action of surface-active impurities. Using the layered specimen method with Ag110 tracer diffusion in silver foil packets annealed in hydrogen between 270 and 695…

On the Hydromagnetic Stability of a Rotating Plasma

Unknown
1963 SovietRxiv: ru-196301.95742

This paper derives an equation for linear wave propagation in an ideally conducting compressible rotating plasma cylinder with arbitrary radial distributions of magnetic field, velocity, density, and temperature. Using the magnetohydrodynamic equations for stationary helical flows, the analysis redu…

On the microwave spectrum of the $\mathrm{F}_2\mathrm{HC}$ – $\mathrm{CH}_2\mathrm{F}$ molecule

I. A. MUKHTAROV
1963 SovietRxiv: ru-196301.95246

The microwave spectrum of the molecule F2HC-CH2F is analyzed in relation to hindered internal rotation about the C-C bond and the symmetry between two folded conformations. The paper derives the expected classification of torsional-rotational states and predicts line doubling for transitions involvi…

On the influence of impurities on the excitation of vibrations of oxygen molecules at high temperatures

Unknown
1963 SovietRxiv: ru-196301.94737

This study examines how impurities affect the vibrational excitation relaxation time of oxygen molecules at high temperatures, addressing discrepancies between earlier measurements and the Landau Teller temperature dependence. Shock tube experiments were performed from about 1200 to 6600 K using car…

On the Radiation Damping of Free Oscillations

Yu. F. ORLOV, S. A. KHEIFETS
1963 SovietRxiv: ru-196301.93922

This paper addresses an apparent discrepancy between quantum and classical treatments of radiation damping of free electron oscillations in a weakly inhomogeneous magnetic field. For the nonrelativistic case, the authors derive perturbed Schrödinger wave functions, compute dipole radiation transitio…

Hydrodynamic Oscillations of Inhomogeneous Low-Pressure Plasma in a Magnetic Field

L. M. KOVRIZHNYKH, E. E. LOVETSKII, A. A. RUKHADZE, V. P. SILIN
1963 SovietRxiv: ru-196301.93754

This paper examines hydrodynamic oscillations and stability of weakly inhomogeneous low-pressure plasmas confined by magnetic fields, emphasizing limitations of approaches that yield coordinate-dependent spectra. Using a geometrical-optics asymptotic method for differential equations with slowly var…

On the Theory of Monomolecular Reactions in Solids

------------------
1963 SovietRxiv: ru-196301.93607

This paper formulates a microscopic transition-state treatment of monomolecular reactions in crystal lattices, emphasizing how elementary decomposition in solids differs from the corresponding gas-phase process. The argument represents the reacting particle and its neighboring lattice block through …

Stabilization of the “Universal” Instability of a Weakly Inhomogeneous Plasma with Relativistic Electrons in a Magnetic Field

Unknown
1963 SovietRxiv: ru-196301.93434

This paper examines the short-wavelength “universal” instability of a weakly inhomogeneous rarefied plasma confined by a magnetic field when the ions are nonrelativistic and the electrons are relativistic. Using a kinetic dispersion equation with finite Larmor radius corrections for both species, th…

On the Theory of Motion of Charged Particles in a Strong Magnetic Field in the Presence of a Strong Transverse Electric Field

V. S. KUDRYAVTSEV
1963 SovietRxiv: ru-196301.93344

The paper develops an averaged theory for the nonrelativistic motion of charged particles in a strong magnetic field when the transverse electric field is not assumed weak, so that the electric drift velocity may be comparable to the particle velocity. Using a Hamiltonian formulation with Poisson br…

On the Determination of Intermolecular Interaction Forces from the Results of a Study of Vibrational Relaxation in Oxygen

Unknown
1963 SovietRxiv: ru-196301.92174

This paper examines whether measurements of vibrational relaxation can be used to determine intermolecular repulsive forces in oxygen at energies higher than those directly accessible in many scattering experiments. Using shock tube measurements of highly purified oxygen over 1200 to 6600 K, the aut…

Magnetic Susceptibility of Group IV Semiconductor Elements According to X-ray Diffraction Analysis

Academician of the Academy of Sciences of the BSSR N. N. SIROTA, A. U. SHELEG
1963 SovietRxiv: ru-196301.92165

This paper determines the diamagnetic and paramagnetic components of the magnetic susceptibility of diamond, silicon, germanium, and gray tin from X-ray diffraction data on electron-density distributions in their sp3-bonded lattices. The authors calculate Langevin diamagnetic terms, polarizabilities…

ON THE METHOD OF GROUP INTEGRALS IN SCATTERING PROBLEMS

Unknown
1963 SovietRxiv: ru-196301.91168

This paper develops a group integral approach to electromagnetic wave scattering by statistical ensembles in which both ordinary pair interactions and electrodynamic multiple scattering must be accounted for. Starting from the canonical ensemble expression for the scattered light density matrix, the…

On ion-acoustic oscillations excited by an electron current

Unknown
1963 SovietRxiv: ru-196301.90687

The paper analyzes the saturation of ion sound oscillations excited in a plasma by an electron current when the electron drift velocity exceeds the ion sound speed. Using nonlinear kinetic equations for the spectral function of the electric potential, it argues that a one-dimensional treatment is in…

On the Consistency of Available Experimental Data on the Spectrum and Asymmetry of Locally Isotropic Turbulence

Unknown
1963 SovietRxiv: ru-196301.90512

This note examines whether experimental measurements of the energy spectrum, structure constant, and skewness in locally isotropic turbulence can be reconciled across different flows and Reynolds numbers. Using Kolmogorov’s relations among the inertial-range spectral constant, second-order structure…

SOLUTION OF THE PROBLEM OF THE MOTION OF CHARGED PARTICLES OF DIFFERENT SIGNS AND MASSES IN THE FIELD OF “MAGNETIC BOTTLES” ON ELECTRONIC COMPUTING MACHINES

Unknown
1963 SovietRxiv: ru-196301.90511

This paper presents numerical calculations of the motion and diffusion of enlarged charged particles of different signs and masses in magnetic bottle fields, extending an earlier model for particles of one sign. The equations of motion include external magnetic fields and Coulomb interaction terms, …