Reduction of quantum analogs of Hamiltonian systems described by Lie algebras to orbits in a coadjoint representation; Russian Physics Journal; Vol. 41, iss. 5

Reduction of quantum analogs of Hamiltonian systems described by Lie algebras to orbits in a coadjoint representation; Russian Physics Journal; Vol. 41, iss. 5

ग्रंथसूची विवरण
Parent link:	Russian Physics Journal: Scientific Journal Vol. 41, iss. 5.— 1998.— [P. 460-464]
मुख्य लेखक:	Lisitsyn Ya. V.
अन्य लेखक:	Shapovalov A. V. Aleksandr Vasilyevich
सारांश:	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
भाषा:	अंग्रेज़ी
प्रकाशित:	1998
विषय:	электронный ресурс труды учёных ТПУ
ऑनलाइन पहुंच:	http://link.springer.com/article/10.1007%2FBF02766506
स्वरूप:	इलेक्ट्रोनिक पुस्तक अध्याय
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636583

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