On the relaxation to equilibrium in quantum systems
On the relaxation to equilibrium in quantum systems
A.G. Shumovskaya, A.S. Shumovskii
It is shown that the method which was applied in a previous work to classical spin systems, is also suitable for obtaining exact evolution equations in quantum quasi-spin systems with pairwise "infinite-radius" interaction, taking into account the precession character of the motion of quasi-s'pins.
Show AbstractOn the nature of a random field in irradiated semiconductor
On the nature of a random field in irradiated semiconductor
V.L. Воnсh - Вrueviсh, P.S. Sul'zhenkо
We study the random field in a semiconductor with semi-macroscopic radiation defects.
Show AbstractOn the possibility of laboratory detection of long periodical gravitational waves
On the possibility of laboratory detection of long periodical gravitational waves
M.V. Sazhin
We develop a laboratory method for the detection of gravitational waves by using the cummulative effect of the gravitational radiation on the frequency shift of the photon.
Show AbstractAsymptotic expansions of the dielectric responce functions of relativistic plasma
Asymptotic expansions of the dielectric responce functions of relativistic plasma
L.S. Kuz'menkov, P.A. Polyakov, M.I. Sitnov, О.O. Trubachev
We carry out a detailed analytical investigation of the dielectric response function (longitudinal dielectric permeability) ε$_{1}$(k,ω) of a Maxwellian relativistic plasma. Correct expansions for this function are obtained in the regions ω « kc and ω ~ kc, which are used to obtain asymptotic expressions for ω$_{1}$(k,ω). We give the regions of ω and k for which these expressions are meaningful, and derive formulae for the dispersion and damping decrement of Langmuir waves.
Show AbstractOn the coherent states of relativistic particles
On the coherent states of relativistic particles
I.M. Ternоv, V.G. Вagrоv
We discuss some general properties of the coherent states of particles in quantum mechanics, and construct examples of relativistic coherent states of an electron moving in a constant and uniform magnetic field, and in the field of a plane electromagnetic wave.
Show AbstractThe behaviour of nonlinear parametric divider with external phase variation
The behaviour of nonlinear parametric divider with external phase variation
L.V. Balakin, V.I. Medvedev
We consider transient processes in phase-sensitive nonlinear-parametric frequency dividers when the frequency of the starting oscillation (which can be regular or parasitic) is changed. Analytical expressions are obtained for the time dependence of the amplitude and phase (frequency) of the "divided" oscillations for various types of variation of the phase of the starting ("dividing") oscillation.
Show AbstractCorrelation of particles in relativistic plasma
Correlation of particles in relativistic plasma
N.D. Naumоv
We find the equilibrium distribution functions of particles and field oscillators for spatially uniform plasma in the absence of external fields. A correction is obtained to the first approximation of the equilibrium two-particle distribution function for relativistic plasma.
Show AbstractThe coherent Raman mixing spectrum of generation
The coherent Raman mixing spectrum of generation
S.Yu. Nikitin
We study theoretically the generation spectrum of coherent Raman mixing. It is shown that for coherent Raman mixing in hydrogen, the generation spectrum is determined by the spectrum of the test wave, and is independent of the pumping spectrum.
Show AbstractOn the topology of cosmological models near critical points
On the topology of cosmological models near critical points
G.A. Sardanashvili, V.P. Yanchevskii
We define the gravitational singularities as singularities of a spaceli time foliation on the manifold X$^{4}$, and this definition is used to study the topology of singularities in homogeneous cosmological models.
Show AbstractOn the surface wave generation in solid state plasma
On the surface wave generation in solid state plasma
L.S. Воgdankeviсh, V.К. Grishin, M.F. Кanevskii
We consider the excitation of a generator, based on the surface wave in solid-state plasma, by a relativistic electron beam propagating in a gas plasma. In a real experiment, there is usually residual gas above the surface of the solid which is ionized by the beam and forms a gas plasma. The gas plasma can also be created independently by using an additional weak beam, laser ray, etc. This makes it possible to control the parameters of the gas plasma. We consider the effect of parameters of the beam on the characteristics of the generator. It is shown that a relatively dense gas plasma effects strongly the electrodynamic properties of the generator. The generation frequency is practically independent of the energy of the beam, and remains at a sufficiently high level. The magnitude of the starting current decreases.
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