This article is cited in 4 papers

Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields

O. L. Kurnyavko^a, I. V. Shirokov<sup>b

a</sup> Omsk Branch, Institute for Semiconductor Physics, Siberian Branch, RAS
^b Irtysh Branch of Novosibirsk State Academy of Water Transport

Abstract: We consider the problem of constructing scalar particle wave equations in Riemannian spaces with external gauge fields whose symmetry group is the group of motions of the Riemannian space.

Keywords: Lie group, Lie algebra, Riemannian space, group of motions, scalar particle, Klein–Gordon equation, gauge field.

Received: 19.07.2007
Revised: 17.10.2007

DOI: 10.4213/tmf6244

 English version: Theoretical and Mathematical Physics, 2008, 156:2, 1169–1179

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