THE EXPONENTIAL MAP FOR THE UNITARY-GROUP SU(2,2)

被引：8

作者：

BARUT, AO

ZENI, JR

LAUFER, A

机构：

[1] UNIV KONSTANZ,DEPT PHYS,D-78434 CONSTANCE,GERMANY

[2] FUNREI,DEPT CIENCIAS NAT,BR-36300 SAO JOAO REI,MG,BRAZIL

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 20期

关键词：

D O I：

10.1088/0305-4470/27/20/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, we extend our previous results for the orthogonal group SO(2, 4) to its homomorphic group SU(2, 2). Here we present a closed finite formula for the exponential of a 4 x 4 traceless matrix, which can be viewed as the generator (Lie algebra elements) of the SL(4, C) group. We apply this result to the SU(2, 2) group, the Lie algebra of which can be represented by Dirac matrices, and discuss how the exponential map for SU(2, 2) can be written by means of Dirac matrices.

引用

页码：6799 / 6805

页数：7

共 16 条

[1] [Anonymous], 1986, THEORY GROUP REPRESE
[2] [Anonymous], 1980, ELECTRODYNAMICS CLAS
[3] MATRIX AND TENSOR CONSTRUCTIONS FROM A GENERIC SU(N) VECTOR
BARNES, KJ
DELBOURGO, R
[J]. JOURNAL OF PHYSICS PART A GENERAL, 1972, 5 (07): : 1043 - +
[4] THE EXPONENTIAL MAP FOR THE CONFORMAL-GROUP O(2, 4)
BARUT, AO
ZENI, JR
LAUFER, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (15): : 5239 - 5250
[5] A GENERALIZED LOCAL U(1) GAUGE-INVARIANCE FOR BOTH THE STANDARD AND PAULI COUPLINGS OF QED
BARUT, AO
MCEWAN, J
[J]. PHYSICS LETTERS B, 1984, 135 (1-3) : 172 - 174
[6] BARUT AO, 1971, LECTURES THEORETICAL, V13
[7] BARUT AO, 1964, PHYS REV B, V135, P839
[8] BARUT AO, 1972, DYNAMICAL GROUPS GEN
[9] BATEMAN H, 1910, P LOND MATH SOC, V8, P288
[10] PARAMETRIZATION OF SU(N) WITH N-1 ORTHONORMAL VECTORS
BINCER, AM
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (03) : 563 - 567

← 1 2 →