Integration of dirac equation in riemannian spaces with five-dimensional group of motions

被引：1

作者：

Varaksin O.L. ^{[1
]}

Klishevich V.V. ^{[1
]}

机构：

来源：

Russian Physics Journal | 1997年 / 40卷 / 8期

关键词：

Dirac Equation; Killing Vector; Riemannian Space; Differential Matrix Equation; Electromagnetic Field Tensor;

D O I：

10.1007/BF02508799

中图分类号：

学科分类号：

摘要：

In the present article a classification of Riemannian spaces with five-dimensional group of motion is described from the point of view of a solution of the Dirac equation. A class of spaces is identified in which the Dirac equation does not admit a complete separation of variables, and exact solutions of the Dirac equation are obtained in these spaces by means of the method of noncommutative integration. ©1998 Plenum Publishing Corporation.

引用

页码：727 / 731

页数：4

共 50 条

[1] Integration of the Dirac equation in Riemannian space with group of motions. I
Klishevich V.V.
[J]. Russian Physics Journal, 2000, 43 (12) : 1038 - 1043
[2] A five-dimensional form of the Dirac equation
Kocinski, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (23): : 4257 - 4277
[3] ON THE NONCOMMUTATIVE INTEGRATION OF DIRAC-EQUATION IN RIEMANNIAN SPACES WITH MOTION GROUP
FEDOSEYEV, VG
SHAPOVALOV, AV
SHIROKOV, IV
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1991, 34 (09): : 43 - 46
[4] On projective motions of five-dimensional spaces of special form
Aminova A.V.
Khakimov D.R.
[J]. Russian Mathematics, 2017, 61 (5) : 83 - 87
[5] Simple five-dimensional wave equation for a Dirac particle
Redington, N.
Lodhi, M. A. K.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (02)
[6] The five-dimensional Dirac equation in the theory of algebraic spinors
Monakhov V.V.
[J]. Bulletin of the Russian Academy of Sciences: Physics, 2017, 81 (10) : 1219 - 1224
[7] On the embedding of branes in five-dimensional spaces
Dahia, F
Romero, C
[J]. CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (04) : 927 - 933
[8] Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory
Wu, Shuang-Qing
[J]. PHYSICAL REVIEW D, 2009, 80 (04):
[9] Supersymmetry in five-dimensional spaces of constant curvature
McKeon, DGC
[J]. CANADIAN JOURNAL OF PHYSICS, 2003, 81 (12) : 1349 - 1361
[10] On the Partial Preliminary Group Classification of the Nonlinear Five-Dimensional D'Alembert Equation
Fedorchuk V.I.
[J]. Journal of Mathematical Sciences, 2013, 194 (2) : 166 - 175

← 1 2 3 4 5 →