SU(1,1) covariant s-parametrized maps

被引：6

作者：

Klimov, Andrei B. ^{[1
]}

Seyfarth, Ulrich ^{[2
]}

de Guise, Hubert ^{[3
]}

Sanchez-Soto, Luis L. ^{[2
,4
]}

机构：

[1] Univ Guadalajara, Dept Fis, Guadalajara 44420, Jalisco, Mexico

[2] Max Planck Inst Phys Lichts, Staudtstr 2, D-91058 Erlangen, Germany

[3] Lakehead Univ, Dept Phys, Thunder Bay, ON P7B 5E1, Canada

[4] Univ Complutense, Fac Fis, Dept Opt, Madrid 28040, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2021年 / 54卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

SU(1,1); Wigner function; phase space methods; COHERENT STATES; QUANTUM-MECHANICS; REPRESENTATIONS; QUANTIZATION; DYNAMICS; SU(2); FORMULATION; OPERATORS;

D O I：

10.1088/1751-8121/abd7b4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a practical recipe to compute the s-parametrized maps for systems with SU(1, 1) symmetry using a connection between the Q- and P-symbols through the action of an operator invariant under the group. This establishes equivalence relations between s-parametrized SU(1, 1)-covariant maps. The particular case of the self-dual (Wigner) phase-space functions, defined on the upper sheet of the two-sheet hyperboloid (or, equivalently, inside the Poincare disc) are analysed.

引用

页数：18

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