ИССЛЕДОВАНИЕ НЕКОТО РЫХ СЛОЖНЫХ ПОЛУПРОВОДНИКОВЫХ Т ВДРДЫХ РАСТВОРОВ И СОЕДИНЕНИЙ НА ОСНОВ Е ИНДИЯ

A(III)B(V)-A₂(III)B₃(VI) - , , , In₂S₃, In₂Se₃ In₂Te₃, . , , : InP-In₂Se₃ — 50% , InAs-In₂Se₃ — 60% , InAs-In₂Te₃ — — . . , A(III)B(V). - - In₄SbTe₃, 6,12₈ Å. , .

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Investigation of some complex semi-conducting solid solutions and compounds on the basis of indium

In order to determine the possibility of preparing solid solutions on the principle of heterovalent substitution between semi-conducting compounds with undefective and defective structures A(III) B(V)-A₂(III) B₃(VI) systems on the basis of indium-indium phosphide, indium arsenide and indium antimonide on the one hand and In₂S₃, In₂Se₃ and In₂Te₃ on the other, are investigated.It was found by means of X-ray structure analysis and thermal and metallographical examinations that immediately after the synthesis, solid solutions with the structure of zinc blende are created in the following systems: InP-In₂Se₃ — in the range of 50% concentration of the initial compounds, InAs-In₂Se₃ — in the range of 60% concentration of the initial compounds, InAs-In₂Te₃ — unlimited solid solutions.Certain electric properties of the alloys within the range of existence of the solid solutions were measured.Regarding the rest of the systems, observable solubility is either completely missing or is limited within a narrow region near the compounds of the A(III) B(V)-type.In the indium-antimony-tellurium system a new compound, with empirical formula In₄SbTe₃ was discovered which showed an NaCl-type structure and lattice parameter equal to 6·12₈ Å. Preliminary study of the electrical characteristics concerning this compound leads to the conclusion that it possesses semi-conducting properties.

     

стАБИльНОсть тлЕУЩЕгО РАжРьДА пРИ слАБых тОкАх

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Stability of a glow discharge in small currents

Two approximations of the dynamic characteristic of a glow discharge for small currents are derived. In the first approximation only the influence of the rate of rise and decay of charge carriers in the delay process is accounted for. In the second approximation, the influence of the rate of stabilization of the radial electric field in the discharge is added. On the basis of the derived equations the conditions for the simplest stability of the discharge are calculated. A comparison with experiment gives satisfactory results.

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A new approach to the problem of the anomalous magnetic moment of the electron

A heuristic model for deriving the anomalous magnetic moment of the electron is presented. A term /2 – 0.327(/)² is deduced, in better agreement with experiment than is the QED derivation of /2 – 0.328(/)². The result is strengthened by the recent non-QED account of the Lamb shift by Yu and Sachs.     

Notes on the classical and the nonrelativistic limits in quantum mechanics

A method is presented which can be used to discuss both the classical and also the nonrelativistic limit of quantum mechanics. A one-to-one correspondence may be established between the asymptotic convergence of the resolvent and that of the timedependent solution. In so far as the question of dynamics is concerned we investigate the relation between families of nonrelativistic Hamiltonians and the corresponding Dirac-Hamiltonians when c± or when c±0. The nonrelativistic free theory formally shows the same pattern when ±0 (the classical limit) or when ±. The investigation finally shows how the asymptotic convergence of the relativistic theory can take place under some fairly general conditions of the radiation field.     

The meaning of time in the theory of relativity and “Einstein's later view of the Twin Paradox”

The purpose of the present paper is to reply to a misleading paper by M. Sachs entitled Einstein's later view of the Twin Paradox (TP) (Found. Phys. 15, 977 (1985)). There, by selecting some passages from Einstein's papers, he tried to convince the reader that Einstein changed his mind regarding the asymmetric aging of the twins on different motions. Also Sachs insinuates that he presented several years ago convincing mathematical arguments proving that the theory of relativity does not predict asymmetrical aging in the TP. Here we give a definitive treatment to the clocks problem showing that Sachs' convincing mathematical arguments are non sequitur. Also, by properly quoting Einstein, we show that his later view of the TP coincides with the one derived from the rigorous theory of time developed in this paper.     

УСТАНОВКА ДЛЯ ВЫРАЩИ ВАНИЯ МОНОКРИСТАЛЛО В МЕТАЛЛОВ

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On the equivalence of different order parameters for Ising ferromagnets

In a recent note Barber showed, for a spin-1/2 Ising system with ferromagnetic pair interactions, that some critical exponents of the triplet order parameter _{i j k} are the same as those of the magnetization _i . Here we prove such results for all odd correlations and dispense with the requirement of pair interactions. We also prove that the critical temperatureT _c , defined as the temperature below which there is a spontaneous magnetization, is for fixed even spin interactionsJ _e independent of the way in which the odd interactionsJ _o approach zero from above. This is achieved by using only the simplest, Griffiths-Kelley-Sherman (GKS), inequalities, which apply to the most general many-spin, ferromagnetic interactions.Research supported in part by NSF Grant #MPS 75-20638.     

A matrix integral solution to [P,Q]=P and matrix laplace transforms

In this paper we solve the following problems: (i) find two differential operatorsP andQ satisfying [P, Q]=P, whereP flows according to the KP hierarchy P/t _n =[(P ^n/p )₊,P], withp:=ordP2; (ii) find a matrix a integral representation for the associated -function. First we construct an infinite dimensional spaceW= span{ ₀(z, ₁(z,...)} of functions ofz invariant under the action of two operators, multiplication byz ^p andA _c :=z/z–z+c. This requirement is satisfied, for arbitraryp, if ₀ is a certain function generalizing the classical Hänkel function (forp=2); our representation of the generalized Hänkel function as adouble Laplace transform of a simple function, which was unknown even for thep=2 case, enables us to represent the -function associated with the KP time evolution of the spaceW as a double matrix Laplace transform in two different ways. One representation involves an integration over the space of matrices whose spectrum belongs to a wedge-shaped contour ^-+ ^- defined by ^± = ₊e^±i/p. The new integrals above relate to matrix Laplace transforms, in contrast with matrix Fourier transforms, which generalize the Kontsevich integrals and solve the operator equation [P, Q]=1.The support of a National Science Foundation grant #DMS-95-4-51179 is gratefully acknowledged.The hospitality of the Volterra Center at Brandeis University is gratefully acknowledged.The hospitality of the University of Louvain and Brandeis University is gratefully acknowledged.The support of a National Science Foundation grant #DMS-95-4-51179, a Nato, an FNRS and a Francqui Foundation grant is gratefully acknowledged.     

A discussion of the Pseudo-Weyl-type metrics

We discuss the pseudo-Weyl vacuum field for which the two metric functions, and , depend on the three coordinates, z, andt. It is shown that no solutions exist that depend on all three coordinates. Consideration is given to the time-dependent metric of Einstein and Rosen and the same (null) result is shown to hold for that case. Thus, the most general solutions to the Weyl-type metric appear to be those already found by Weyl and by Einstein and Rosen.     

Numerical analysis of two-soliton solutions on a Bianchi type- II background

The asymptotic behavior of a solution of vacuum Einstein equations describing the propagation of a double soliton wave on a Bianchi type-II background is investigated numerically.     

Level shift of μ mesoatoms and anomalous interaction of muons with nuclei

The effect of the possible anomalous interaction of a muon with nuclei, due to exchange of the muon and the nucleon, with vector V=⁰, , , J/, , and ⁰ mesons, on the level of the mesoatoms is considered. An estimate is carried out of the energy shift of the 2P-1S transition. A comparison of the estimates obtained for the 2P-1S transition energy shift in the mesoatom²⁰⁶Pb with the experimental data does not contradict the presence in the muon of an anomalous interaction with the nucleon, defined by the effective coupling constant /4 4·10^–4.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 75–80, June, 1978.     

The internal friction of longitudinal oscillations in ferromagnetic materials

The paper deals with the theory of the new magnetomechanical phenomenon in an alternating field [6, 7]. The first part concerns the internal friction of longitudinal oscillations of a ferromagnetic material in the shape of a wire in a constant magnetic field. It is assumed that the medium in which the sample oscillates is conducting and has a certain permeability. Equations defining the magnetic field in the oscillating material are derived from the basic thermodynamic relations. The term describing the non-conservative force component in a complex formulation is used to determine the internal friction. A general relation between the internal friction and the magnetic field is derived, as well as other expressions, which are a simplification of it. The second part of the paper deals with internal friction in an alternating field. It is shown that the solution can be transformed to the sum of the internal frictions of the different harmonic oscillations, which are obtained as a partial solution of the problem on the assumption that the elastic oscillations in interaction with the field oscillations are separated into their harmonic components. The calculation then becomes that of the internal friction considered in the first part of the paper. In this case the internal friction significantly depends on the field amplitude. The functional dependence of the internal friction peak on the frequency of the mechanical oscillations is also calculated. The agreement of the theory with experiment is satisfactory.

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On the energy balance in the optics of metals

On the basis of the boundary conditions of the electromagnetic theory an explicit calculation of the absorption in a thin metallic film was carried out with the result that transport and interference components were found to exist. By applying the method to a simple metal-dielectric boundary the physical interpretation was given of the energy balance, which had hitherto been regarded as unclear. It was also explained why the reversibility principle fails when applied to a metal-dielectric boundary.

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Generalized master equations for continuous-time random walks

An equivalence is established between generalized master equations and continuous-time random walks by means of an explicit relationship between(t), which is the pausing time distribution in the theory of continuous-time random walks, and(t), which represents the memory in the kernel of a generalized master equation. The result of Bedeaux, Lakatos-Lindenburg, and Shuler concerning the equivalence of the Markovian master equation and a continuous-time random walk with an exponential distribution for(t) is recovered immediately. Some explicit examples of(t) and(t) are also presented, including one which leads to the equation of telegraphy.This study was partially supported by ARPA and monitored by ONR Contract No. (N00014-17-C-0308).For continuity, the reader is directed to the article entitled Random Walks on Lattices. IV. Continuous Time Walks and Influence of Absorbing Boundaries, by E. W. Montroll and H. Scher, which will appear in Volume 9, Number 2, of this journal, and which should precede the following article. Regrettably, the two articles were inadvertently switched during processing.     

к ВОпРОсУ О БЕтАтРОННых кОлЕБАНИьх В УскОРИтЕлЕ с ОБОБЩЕННыМ пОлЕМ

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A remark on betatron oscillations in an accelerator with a generalized field

The paper discusses the stability region for a canonical system of equations of motion describing the behaviour of a particle in an accelerator with a generalized field, defined on the general rotation surface [1], [2], The stability region is determined in the plane of two invariants.

     

ПЛОТНОСТЬ ТОКА В АНОД НЫХ ПЯТНАХ ИСКРОВЫХ РАЗРЯДОВ В ВОЗДУХЕ ПР И АТМОСФЕРНОМ ДАВЛЕН ИИ

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Der Einfluss von Beimengungen auf die Fasersubstruktur von Zink-Einkristallen

Zusammenfassung An Einkristallen von Zn mit Beimengungen von Cd oder Cu wurde experimentell die Abhä agigkeit der Größe des Durchmessers der Fasersubstruktur vom Gehalt der Beimengungen untersucht, die aus der Theorie von Rutter und Chalmers [1] hervorgeht. Es wird die Möglichkeit gezeigt, die Größe des Verteilungskoeffizientenk aus den erzielten Ergebnissen abzuschätzen.

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Влияние переменного магнитного поля на остаточное состоя ние магнитно — Мягких материалов

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The influence of an alternating magnetic field on the remanent state of magnetically soft materials

A study is made of the influence of an alternating magnetic field of varying maximum amplitude on the remanent state, or rather, apparent remanent state of toroidal and open samples of metallic and non-metallic magnetically soft ferromagnetics. An interpretation of the corresponding dependences is given on the basis of Kondorski's conception of the composition of a polycrystalline jerromagnetic material.

     

A remark on the decay rate of bound muons

The probability of the decay of a bound -meson is calculated using the theory of weak interactions with an intermediate boson. It is found that this theory, like all the others, cannot explain the experimental maximum atZ=26.

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I wish to acknowledge my indebtedness to Professor V. Votruba for suggesting the problem and for valuable discussions.