Factorized representation for parity-projected Wigner dj(β) matrices -: art. no. 022103

被引:7
作者
Manakov, NL [1 ]
Meremianin, AV
Starace, AF
机构
[1] Voronezh State Univ, Dept Phys, Voronezh 394693, Russia
[2] Univ Nebraska, Dept Phys & Astron, Lincoln, NE 68588 USA
来源
PHYSICAL REVIEW A | 2000年 / 61卷 / 02期
关键词
D O I
10.1103/PhysRevA.61.022103
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An alternative representation for the parity-projected Wigner d(j)(beta) rotation matrix is derived as the product of two triangular matrices composed of Gegenbauer polynomials with negative and positive upper indices, respectively. We relate this representation for d(j)(beta) to the one presented by Matveenko [Phys. Rev. A 59, 1034 (1999)], which, in contrast with our result, requires for its evaluation a matrix inversion. In addition, identities for bilinear sums of Gegenbauer polynomials are derived. This work is based on our recently introduced invariant representations for finite rotation matrices [Phys. Rev. A 57, 3233 (1998)].
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页数:6
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