Local symmetry algebra of the schrodinger equation for the hydrogen atom; Theoretical and Mathematical Physics; Vol. 106, iss. 2

Manylion Llyfryddiaeth
Parent link:Theoretical and Mathematical Physics: Scientific Journal
Vol. 106, iss. 2.— 1996.— [P. 227-236]
Prif Awdur: Drokin A. A.
Awduron Eraill: Shapovalov A. V. Aleksandr Vasilyevich, Shirokov I. V.
Crynodeb: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
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Iaith:Saesneg
Cyhoeddwyd: 1996
Pynciau:
Mynediad Ar-lein:http://link.springer.com/article/10.1007%2FBF02071077
Fformat: Electronig Pennod Llyfr
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636593