Local symmetry algebra of the schrodinger equation for the hydrogen atom

Local symmetry algebra of the schrodinger equation for the hydrogen atom

Bibliographic Details
Parent link:	Theoretical and Mathematical Physics: Scientific Journal Vol. 106, iss. 2.— 1996.— [P. 227-236]
Main Author:	Drokin A. A.
Other Authors:	Shapovalov A. V. Aleksandr Vasilyevich, Shirokov I. V.
Summary:	Title screen We completely describe all local symmetries (that is, differential operators of arbitrary finite orders) of the steady-state Schrodinger equation for the hydrogen atom. This description is based on the reduction of the Schrodinger equation for an isotropic harmonic oscillator to the Schrodinger equation for the hydrogen atom, which generates the reduction of the corresponding symmetry algebras. We show that for an n-dimensional isotropic harmonic oscillator, all nontrivial local symmetry operators belong to the enveloping algebra U (su(n, C)) of the algebra su(n, C). The basis of so(4, C) consists of rotation group generators and Runge-Lenz operators Режим доступа: по договору с организацией-держателем ресурса
Language:	English
Published:	1996
Subjects:	электронный ресурс труды учёных ТПУ
Online Access:	http://link.springer.com/article/10.1007%2FBF02071077
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636593

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