Noncommutative integration of the Dirac equation in Riemann spaces possessing a group of automorphisms

Abstract

Applying the method of noncommutative integration for linear differential equations, we build exact solutions for the Dirac equation in 4-dimensional Riemann spaces, which have a 5-parameter group of automorphisms and where the Klein-Gordon and the Dirac equations are nonintegrable using the technique of complete separation of variables.

Original language	English
Pages (from-to)	777-781
Number of pages	5
Journal	Soviet Physics Journal
Volume	34
Issue number	9
DOIs	https://doi.org/10.1007/BF00896710
Publication status	Published - Sep 1991
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF00896710

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title = "Noncommutative integration of the Dirac equation in Riemann spaces possessing a group of automorphisms",

abstract = "Applying the method of noncommutative integration for linear differential equations, we build exact solutions for the Dirac equation in 4-dimensional Riemann spaces, which have a 5-parameter group of automorphisms and where the Klein-Gordon and the Dirac equations are nonintegrable using the technique of complete separation of variables.",

author = "Fedoseev, {V. G.} and Shapovalov, {A. V.} and Shirokov, {I. V.}",

year = "1991",

month = sep,

doi = "10.1007/BF00896710",

language = "English",

volume = "34",

pages = "777--781",

journal = "Russian Physics Journal",

issn = "1064-8887",

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number = "9",

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AB - Applying the method of noncommutative integration for linear differential equations, we build exact solutions for the Dirac equation in 4-dimensional Riemann spaces, which have a 5-parameter group of automorphisms and where the Klein-Gordon and the Dirac equations are nonintegrable using the technique of complete separation of variables.

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