Quadratic algebras applied to noncommutative integration of the Klein-Gordon equation: Four-dimensional quadratic algebras containing three-dimensional nilpotent lie algebras
- Tomsk State Univ. (Russian Federation); and others
The study is continued on noncommutative integration of linear partial differential equations 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, where a single nontrivial example is used to demonstrate noncommutative integration of the Klein-Gordon equation in a Riemann space not permitting variable separation.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 146096
- Journal Information:
- Russian Physics Journal, Journal Name: Russian Physics Journal Journal Issue: 3 Vol. 38; ISSN RPJOEB; ISSN 1064-8887
- Country of Publication:
- United States
- Language:
- English
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