Reduction of quantum analogs of Hamiltonian systems described by Lie algebras to orbits in a coadjoint representation

Reduction of quantum analogs of Hamiltonian systems described by Lie algebras to orbits in a coadjoint representation

Bibliographic Details
Parent link:Russian Physics Journal: Scientific Journal
Vol. 41, iss. 5.— 1998.— [P. 460-464]
Main Author: Lisitsyn Ya. V.
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich
Summary:Title screen
A study is made of the possibility of reducing quantum analogs of Hamiltonian systems to Lie algebras. The procedure of reducing classical systems to orbits in a coadjoint representation based on Lie algebra is well-known. An analog of this procedure for quantum systems described by linear differential equations (LDEs) in partial derivatives is proposed here on the basis of the method of noncommutative integration of LDEs. As an example illustrating the procedure, an examination is made of nontrivial systems that cannot be integrated by separation of variables: the Gryachev-Chaplygin hydrostat and the Kovalevskii gyroscope. In both cases, the problem is reduced to a system with a smaller number of variables
Режим доступа: по договору с организацией-держателем ресурса
Published: 1998
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://link.springer.com/article/10.1007%2FBF02766506
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636583

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