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

Podrobná bibliografie
Parent link:Russian Physics Journal: Scientific Journal
Vol. 41, iss. 5.— 1998.— [P. 460-464]
Hlavní autor: Lisitsyn Ya. V.
Další autoři: Shapovalov A. V. Aleksandr Vasilyevich
Shrnutí: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
Jazyk:angličtina
Vydáno: 1998
Témata:
электронный ресурс
труды учёных ТПУ
On-line přístup:http://link.springer.com/article/10.1007%2FBF02766506
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636583

Podobné jednotky

Podobné jednotky