Quadratic algebras applied to noncommutative integration of the Klein-Gordon equation: Four-dimensional quadratic algebras containing three-dimensional nilpotent lie algebras

Bibliographic Details
Parent link:Russian Physics Journal: Scientific Journal
Vol. 38, iss. 3.— 1995.— [P. 299-303]
Other Authors: Varaksin O. L., Firstov V. V., Shapovalov A. V. Aleksandr Vasilyevich, Shirokov I. V.
Summary:Title screen
The study is continued on noncommutative integration of linear partial differential equations [1] in application to the exact integration of quantum-mechanical equations in a Riemann space. That method gives solutions to the Klein-Gordon equation when the set of noncommutative symmetry operations for that equation forms a quadratic algebra consisting of one second-order operator and of first-order operators forming a Lie algebra. The paper is a continuation of [2], where a single nontrivial example is used to demonstrate noncommutative integration of the Klein-Gordon equation in a Riemann space not permitting variable separation
Режим доступа: по договору с организацией-держателем ресурса
Published: 1995
Subjects:
Online Access:http://link.springer.com/article/10.1007%2FBF00559478
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636602