Faculty of Physics
M.V. Lomonosov Moscow State University

# Issue 1, 1981

## The density of states in the generalized two-band model

### A.G. Мirопоv

Moscow University Physics Bulletin 1981. 36. N 1. P. 1

The density of energy states and number of states in the zones in the case of a spectrum symmetric relative to electrons and holes are computed in a two-zone model generalized by taking into account the influence of remote zones. Numerical estimates of the density of states in the case of energies at a distance from the zone edges of approximately the width of the forbidden zone are presented, and may markedly differ from the results of Cain model; the difference in the electron concentration is less substantial.

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## The multiplicity of the secondary particles at the nucleus-nucleus collisions

### N.F. Nelipa, A.E. Pukhov

Moscow University Physics Bulletin 1981. 36. N 1. P. 6

The process of multiple generation of particles in nucleus-nucleus collisions is considered within the framework of a model of independent collisions. Formulas are obtained which express the mean multiplicity of particles generated in nuclear collision in terms of the mean multiplicity of pA interactions.

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## Beam-wave asymptotic state in plasma systems

### V.K. Grishin, S.Т. Ivanov, M.F. Kanevskii

Moscow University Physics Bulletin 1981. 36. N 1. P. 13

The state of a wave beam in an unbounded plasma which appears at the stage of wave capture and particle phase mixing is analyzed. The mean state is described by means of nonlinear kinetic, self-consistent equations, and the plasma remains a linear, dispersing medium. Equations are obtained which describe the nonlinear state of a wave beam, by means of which it is possible to obtain detailed information about the characteristics of the particular system.

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## Solitary state wave-beam in damping systems

### V.K. Grishin, E.N. Shapоshnikоva

Moscow University Physics Bulletin 1981. 36. N 1. P. 17

In the present article, isolated electromagnetic waves of appreciable amplitude excited by intense electron beams in decelerating systems are investigated. The characteristics of the wave beam are estimated by means of a self-consistent kinetic analysis of the final equilibrium state which appears as a result of nonlinear interaction of the wave beam. It is shown that the particle field is concentrated practically within the cluster. Beam reorganization as a result of the effect of longitudinal autofocusing is considered.

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## On the generalization of Nozieres—de Dominicis's theory for X-Ray absorption edges in metals to the case of finite temperature

### F.A. Zhivopistsev, F.E. Comas

Moscow University Physics Bulletin 1981. 36. N 1. P. 23

A generalization of the Nozieres-de Dominicis theory of finite temperature for x-ray spectra at the absorption edge in metals is considered. The formalism of Green's time functions in the case of finite temperatures under the assumption that heat energy is small, is used. It is found that the temperature effect leads to broadening of the spectra lines in the shape of the Gaussian function.

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## Effect of correlations in ground state and elastic scattering nucleon on nuclei $^{16}$O and $^{40}$Ca

### F.A. Zhivopistsev, H. Molina

Moscow University Physics Bulletin 1981. 36. N 1. P. 30

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