The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction; Theoretical and Mathematical Physics; Vol. 106, iss. 1

The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction; Theoretical and Mathematical Physics; Vol. 106, iss. 1

Dades bibliogràfiques
Parent link:	Theoretical and Mathematical Physics: Scientific Journal Vol. 106, iss. 1.— 1996.— [P. 1-10]
Autor principal:	Shapovalov A. V. Aleksandr Vasilyevich
Altres autors:	Shirokov I. V.
Sumari:	Title screen The method of noncommutative integration for linear partial differential equations [1] is extended to the case of the so-called functional algebras for which the commutators of their generators are nonlinear functions of the same generators. The linear functions correspond to Lie algebras, whereas the quadratics are associated with the so-called quadratic algebras having wide applications in quantum field theory. A nontrivial example of integration of the Klein-Gordon equation in a curved space not allowing separation of variables is considered. A classification of four- and five-dimensional quadratic algebras is performed.A method of dimensional reduction for noncommutatively integrable many-dimensional partial differential equations is suggested. Generally, the reduced equation has a complicated functional symmetry algebra. The method permits integration of the reduced equation without the use of the explicit form of its functional algebra. Режим доступа: по договору с организацией-держателем ресурса
Idioma:	anglès
Publicat:	1996
Matèries:	электронный ресурс труды учёных ТПУ
Accés en línia:	http://link.springer.com/article/10.1007%2FBF02070758
Format:	Electrònic Capítol de llibre
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636597

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