Zobrazeno 1 - 10
of 157
pro vyhledávání: '"symmetry operators"'
Autor:
V. V. Obukhov
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1385 (2024)
In this paper, the final stage of the Petrov classification is carried out. As it is known, the Killing vector fields specify infinitesimal transformations of the group of motions of space V4. In the case where the group of motions G3 acts in a simpl
Externí odkaz:
https://doaj.org/article/036a29e9cdec4236bb8e31e8cc89b7e7
Akademický článek
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Autor:
Valeriy V. Obukhov
Publikováno v:
Symmetry, Vol 15, Iss 3, p 648 (2023)
The problem of the classification of the exact solutions to Maxwell’s vacuum equations for admissible electromagnetic fields and homogeneous space-time with the group of motions G3(VIII) according to the Bianchi classification is considered. All no
Externí odkaz:
https://doaj.org/article/63551c0908e74b97807b71ae790b528c
Autor:
V. V. Obukhov
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2595 (2022)
The classification of exact solutions of Maxwell vacuum equations for the case where the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group G3(VII) was completed. All non-equivalent exact solutions
Externí odkaz:
https://doaj.org/article/30298652218c4a8784bd4c23d048ff23
Autor:
Valery V. Obukhov
Publikováno v:
Universe, Vol 8, Iss 4, p 245 (2022)
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is is
Externí odkaz:
https://doaj.org/article/5829fc372a0a4ce7a09ce223891f4dcc
Publikováno v:
Symmetry, Vol 14, Iss 3, p 577 (2022)
We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. The approach proposed relies on an auxiliary dynamical system of moment
Externí odkaz:
https://doaj.org/article/ad6c0af071b24250b6bfc559c39dd3f1
Autor:
Valeriy V. Obukhov
Publikováno v:
Symmetry, Vol 14, Iss 2, p 346 (2022)
The algebras of the symmetry operators for the Hamilton–Jacobi and Klein–Gordon–Fock equations are found for a charged test particle, moving in an external electromagnetic field in a spacetime manifold on the isotropic (null) hypersurface, of w
Externí odkaz:
https://doaj.org/article/1933198181734f12a156b4b331d95c43
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2000 Nov 01. 456(2003), 2629-2643.
Externí odkaz:
https://www.jstor.org/stable/2665449
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1289 (2021)
We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and eigenfunctions semiclassically concentrated on a c
Externí odkaz:
https://doaj.org/article/12709586083548aaa21666795dc0c2ce
Autor:
Valeriy V. Obukhov
Publikováno v:
Symmetry, Vol 13, Iss 4, p 727 (2021)
All external electromagnetic fields in which the Klein-Gordon-Fock equation admits the first-order symmetry operators are found, provided that in the space-time V4 a group of motion G3 acts simply transitively on a non-null subspace of transitivity V
Externí odkaz:
https://doaj.org/article/68c6c7b7ede84e959a517c3b71129b35