Zobrazeno 1 - 10
of 36
pro vyhledávání: '"33E30, 34B30"'
Autor:
Motygin, Oleg V.
In the paper we consider the Heun functions, which are solutions of the equation introduced by Karl Heun in 1889. The Heun functions generalize many known special functions and appear in many fields of modern physics. Evaluation of the functions was
Externí odkaz:
http://arxiv.org/abs/2010.09053
Autor:
Ishkhanyan, T. A., Ishkhanyan, A. M.
We show that there exist infinitely many particular choices of parameters for which the three-term recurrence relations governing the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions become two-t
Externí odkaz:
http://arxiv.org/abs/1805.06519
Autor:
Motygin, Oleg V.
In this paper we consider the confluent Heun equation, which is a linear differential equation of second order with three singular points --- two of them are regular and the third one is irregular of rank 1. The purpose of the work is to propose a pr
Externí odkaz:
http://arxiv.org/abs/1804.01007
Autor:
Boyarkin, O. M., Boyarkina, G. G.
Limiting ourselves to two flavor approximation the motion of the neutrino flux in the solar matter and twisting magnetic field is considered. For the neutrino system described by the 4-component wave function $\Psi^T = (\nu_{eL}, \nu_{XL}, {\overline
Externí odkaz:
http://arxiv.org/abs/1609.05860
Autor:
Leroy, C., Ishkhanyan, A. M.
Publikováno v:
Integral Transforms and Special Functions 26, 451-459 (2015)
We construct several expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta functions and the Appell generalized hypergeometric functions of two variables of the fist kind. The coefficients of different expansions
Externí odkaz:
http://arxiv.org/abs/1505.02178
Autor:
Veko, O. V., Red'kov, V. M.
It is shown that the known method to solve the Dirac equation by means of the squaring method, when relying on the scalar function of the form \Phi = e^{-i\epsilon t} e^{ik_{1} x} e^{ik_{2} y} \sin (kz + \alpha) leads to a 4-dimensional space of the
Externí odkaz:
http://arxiv.org/abs/1501.06175
Relativistic theory of the Cox's scalar not point-like particle with intrinsic structure is developed on the background of arbitrary curved space-time. It is shown that in the most general form, the extended Proca-like tensor first order system of eq
Externí odkaz:
http://arxiv.org/abs/1411.2556
Autor:
Veko, O. V., Kazmerchuk, K. V., Ovsiyuk, E. M., Kisel, V. V., Ishkhanyan, A. M., Red'kov, V. M.
The spin 1 particle is treated in the presence of the Dirac magnetic monopole in the Minkowski and Lobachevsky spaces. Separating the variables in the frame of the matrix 10-component Duffin-Kemer-Petiau approach (wave equation) and making a nonrelat
Externí odkaz:
http://arxiv.org/abs/1411.1049
The hydrogen atom theory is developed for the de Sitter and anti de Sitter spaces on the basis of the Klein-Gordon-Fock wave equation in static coordinates. In both models, after separation of the variables, the problem is reduced to the general Heun
Externí odkaz:
http://arxiv.org/abs/1410.8344
Publikováno v:
Nonlinear Phenomena in Complex Systems. 2014. Vol. 17, no. 1 . P. 17--39
Tetrad-based generalized complex formalism by Majorana--Oppenheimer is applied to treat electromagnetic field in extending de Sitter Universe in on-static spherically-symmetric coordinates. With the help of Wigner D-functions, we separate angular dep
Externí odkaz:
http://arxiv.org/abs/1410.8324