Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Otchik, A."'
The classical Kepler-Coulomb problem on the single-sheeted hyperboloid $H^{3}_1$ is solved in the framework of the Hamilton--Jacobi equation. We have proven that all the bounded orbits are closed and periodic. The paths are ellipses or circles for fi
Externí odkaz:
http://arxiv.org/abs/1603.08139
Eigenfunctions of the Schrodinger equation with the Coulomb potential in the imaginary Lobachevsky space are studied in two coordinate systems admitting solutions in terms of hypergeometric functions. Normalization and coefficients of mutual expansio
Externí odkaz:
http://arxiv.org/abs/1603.07971
Autor:
Otchik, V. S., Red'kov, V. M.
5-Dimensional wave equation for a massive particle of spin 1 in the background of de Sitter space-time model is solved in static coordinates. The spherical 5-dimensional vectors $A_{a}, a= 1,...,5$ of three types, $j,j+1, j-1$ are constructed. In mas
Externí odkaz:
http://arxiv.org/abs/1001.4253
Autor:
L. L. Jenkovszky, Y. A. Kurochkin, V. S. Otchik, P. F. Pista, N. D. Shaikovskaya, D. V. Shoukavy
Publikováno v:
Symmetry, Vol 15, Iss 2, p 377 (2023)
The theory of quantum mechanical scattering in hyperbolic space is developed. General formulas based on usage of asymptotic form of the solution of the Shrödinger equation in hyperbolic space are derived. The concept of scattering length in hyperbol
Externí odkaz:
https://doaj.org/article/0bff95d56d5f4e77a29d9f494397b258
By analogy with the Lobachevsky space H_{3}, generalized parabolic coordinates (t_{1},t_{2},\phi) are introduced in Riemannian space model of positive constant curvature S_{3}. In this case parabolic coordinates turn out to be complex valued and obey
Externí odkaz:
http://arxiv.org/abs/hep-th/0612178
Autor:
V. S. Otchik
Publikováno v:
Nonlinear Phenomena in Complex Systems. 25:368-376
Solutions of the spin-weighted spheroidal differential equation are presented in the form of the series involving confluent hypergeometric functions. Relations between solutions with different domains of convergence are derived by considering the con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62608403fdd9bfa631d20e054500c266
https://doi.org/10.33581/1561-4085-2022-25-4-368-376
https://doi.org/10.33581/1561-4085-2022-25-4-368-376
Publikováno v:
Nonlinear Phenomena in Complex Systems. 25:245-253
Based on the use of the asymptotics for the wave function of a scattered particle in a Lobachevsky space in a form close to the asymptotics in flat space, general formulas for the theory of quantum mechanical scattering in this space are derived. Thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4958ea484a9de21cf0cc129a0118a119
https://doi.org/10.33581/1561-4085-2022-25-3-245-253
https://doi.org/10.33581/1561-4085-2022-25-3-245-253
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