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Starting from a generic generally covariant classical theory we introduce the logarithmic correction to the quantum wave equation. We demonstrate the emergence of the evolution time from the group of automorphisms of the von Neumann algebra…

High Energy Physics - Theory · Physics 2010-11-26 Konstantin G. Zloshchastiev

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

Plasma state of matter can be studied in various types of situations. These studies are of great interest in Astrophysical objects like galaxies, accretion disk, neutron stars, etc, and laboratory plasma as well. Different objects demand…

Plasma Physics · Physics 2020-12-25 S. Sarkar , T. Ghosh , S. Chandra

The effective mass approximation is used to consider plasma and magnetoplasma waves in an electron system on the surface of the semiconductor cylindrical nanotube. The electron-electron coupling is taken into account in the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-24 A. M. Ermolaev , G. I. Rashba

New type of quantum kinetic equations of the Fermi particles are derived. The Bogolyubov's type of dispersion relation, which is valid for the Bose fluid, is disclosed. Model of neutral Bose atoms in dense strongly coupled plasmas with…

Plasma Physics · Physics 2015-05-13 Nodar L. Tsintsadze , Levan N. Tsintsadze

Weakly nonlinear plane waves are considered in hyperelastic crystals. Evolution equations are derived at a quadratically nonlinear level for the amplitudes of quasi-longitudinal and quasi-transverse waves propagating in arbitrary…

Mathematical Physics · Physics 2009-04-30 Włodzimierz Domański , Andrew N. Norris

Using previously developed method of two-dimensional Laplace transform we obtain the characteristic equations k(\omega) for electromagnetic waves in low-collision fully ionized plasma of a plane geometry. We apply here a new, different from…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

A theoretical investigation has been carried out on the propagation of nonlinear ion-acoustic shock waves (IASHWs) in a collsionless magnetized degenerate quantum plasma system composed of inertial non-relativistic positively charged light…

Plasma Physics · Physics 2021-04-07 M. K. Islam , S. Biswas , N. A. Chowdhury , A. Mannan , M. Salahuddin , A. A. Mamun

Nonlinear, relativistic longitudinal waves with sub-luminal phase velocity $v_p$ are the basis of plasma-based electron accelerators. For such application, key properties of the wave are the maximum or ``wave breaking'' amplitude and the…

Plasma Physics · Physics 2019-07-03 A. Macchi

Relations between particle and wave properties for charge carriers in periodic potentials of crystalline metals and semiconductors are derived. The particle aspects of electrons and holes in periodic potentials are considered using…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Wlodek Zawadzki

Formulas for the longitudinal dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with the frequency of collisions proportional to the module of the wave vector, in Mermin's approach, are received. Equation…

Plasma Physics · Physics 2013-02-06 A. V. Latyshev , A. A. Yushkanov

We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear…

Plasma Physics · Physics 2017-11-30 Amar P. Misra , Debjani Chatterjee , Gert Brodin

Formulas for calculation of transversal dielectric function and transversal electric conductivity in quantum non-degenerate collisional plasmas under arbitrary degree of degeneracy of the electron gas are received. The…

Mathematical Physics · Physics 2012-05-30 A. V. Latyshev , A. A. Yushkanov

We present a derivation of the dispersion relation for electrostatic oscillations (ESOs) in a zero temperature quantum plasma. In the latter, degenerate electrons are governed by the Wigner equation, while non-degenerate ions follow the…

Plasma Physics · Physics 2009-11-25 Bengt Eliasson , Padma K. Shukla

Oblique propagation of the spin-electron acoustic waves in degenerate magnetized plasmas is considered in terms of quantum kinetics with the separate spin evolution, where the spin-up electrons and the spin-down electrons are considered as…

Plasma Physics · Physics 2018-04-18 Pavel A. Andreev

The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution of the wave function or the density matrix. A complete dynamical description requires a full understanding of the evolution of measured…

Kinetic Vlasov equation for collisional plasmas with BGK (Bhatnagar-Gross-Krook) collision integral is used. The case of arbitrary temperature (i.e. arbitrary degree of degeneration of electronic gas) is considered. From kinetic Vlasov…

Plasma Physics · Physics 2016-06-22 A. V. Latyshev , A. A. Yushkanov

Our last three papers provide an occasion to make some brief notes on ideology of waves in plasmas and to rehabilitate Vlasov prescription to calculate relevant logarithmically divergent integrals in the principal value sense. In this…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

We present the derivation of generic equations describing the long gravity waves in incompressible fluid with decaying effect. We show that in this theory the only restriction to the surface deviation is connected with the stability…

Fluid Dynamics · Physics 2024-11-26 Vladimir I. Kruglov

Magneto-acoustic waves in partially ionized plasmas are damped due to elastic collisions between charged and neutral particles. Here, we use a linearized two-fluid model to describe the influence of this collisional interaction on the…

Plasma Physics · Physics 2025-10-17 David Martínez-Gómez