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.
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页数：18
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