INVARIANT TENSORS FOR SOME MAXIMAL SUBGROUPS OF THE CONFORMAL GROUP OF SPACE-TIME

被引：7

作者：

BECKERS, J

JAMINON, M

SERPE, J

机构：

[1] Universite de Liege, Physique Theorique et Mathematique, Institut de Physique Au Sart, B4000 Liege 1, Tilman

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 09期

关键词：

D O I：

10.1088/0305-4470/12/9/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Tensor fields invariant under some maximal subgroups of the conformal group of space-time are determined. The infinitesimal method is applied from conformal point transformations discussed by Fulton, Rohrlich and Witten (1962). 'Electromagnetic' skew-symmetric tensors F(x), 'electromagnetic' four-potentials A(x) and scalar densities Phi (x) are studied with respect to the conditions of invariance under SO(3)(X)SO(2,1), O(3,2) and O(2)(X)O(4).

引用

页码：1341 / 1356

页数：16

共 32 条

[1] GROUP-THEORETICAL ANALYSIS OF ELEMENTARY PARTICLES IN AN EXTERNAL ELECTROMAGNETIC FIELD .1. RELATIVISTIC PARTICLE IN A CONSTANT AND UNIFORM FIELD [J].

BACRY, H ;

COMBE, P ;

RICHARD, JL .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1970, 67 (02) :267-+

[2]

BARUT AO, 1971, SITTER CONFORMAL GRO, V12

[3]

Bateman H, 1910, P LOND MATH SOC, V8, P223

[4] SUBGROUPS OF EUCLIDEAN GROUP AND SYMMETRY BREAKING IN NONRELATIVISTIC QUANTUM-MECHANICS [J].

BECKERS, J ;

PATERA, J ;

PERROUD, M ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (01) :72-83

[5] TENSOR FIELDS INVARIANT UNDER SUBGROUPS OF CONFORMAL GROUP OF SPACE-TIME [J].

BECKERS, J ;

HARNAD, J ;

PERROUD, M ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (10) :2126-2153

[6] METRIC TENSORS INVARIANT UNDER SOME SUBGROUPS OF CONFORMAL GROUP OF SPACE-TIME [J].

BECKERS, J ;

JAMINON, M .

PHYSICA A, 1978, 94 (01) :165-180

[7]

Beckers J., 1976, Bulletin de la Societe Royale des Sciences de Liege, V45, P279

[8]

BECKERS J, UNPUBLISHED

[9] OPTICAL GROUP AND ITS SUBGROUPS [J].

BURDET, G ;

PATERA, J ;

PERRIN, M ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (08) :1758-1780

[10] ELECTROMAGNETIC-FIELDS WITH SYMMETRY [J].

COMBE, P ;

SORBA, P .

PHYSICA A, 1975, 80 (03) :271-286

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