Noncommutative integration of linear differential equations

A. V. Shapovalov, I. V. Shirokov

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A method of noncommutative integration of linear partial differential equations that is analogous to noncommutative integration of finite-dimensional Hamiltonian systems is proposed. The method is based on the concept, introduced in the paper, of a λ representation of Lie algebras. The method can be applied to the integration of the Klein-Gordon equation in Riemannian spaces of non-Stäckel type (i.e., in spaces that do not admit complete separation of the variables).

Original languageEnglish
Pages (from-to)921-934
Number of pages14
JournalTheoretical and Mathematical Physics
Volume104
Issue number2
DOIs
Publication statusPublished - 1995
Externally publishedYes

Fingerprint

Linear differential equation
differential equations
Klein-Gordon equation
Klein-Gordon Equation
Linear partial differential equation
partial differential equations
Hamiltonian Systems
Lie Algebra
algebra

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Noncommutative integration of linear differential equations. / Shapovalov, A. V.; Shirokov, I. V.

In: Theoretical and Mathematical Physics, Vol. 104, No. 2, 1995, p. 921-934.

Research output: Contribution to journalArticle

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