SU (1,1) and SU (2) Perelomov number coherent states: algebraic approach for general systems

被引：4

作者：

Ojeda-Guillen, D. ^{[1
]}

Salazar-Ramirez, M. ^{[1
]}

Mota, R. D. ^{[2
]}

Granados, V. D. ^{[3
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Computo, Ave Juan de Dios Batiz Esq, Mexico City 07738, DF, Mexico

[2] Inst Politecn Nacl, Unidad Culhuacan, Escuela Super Ingn Mecan & Elect, Ave Santa Ana 1000,Col San Francisco Culhuacan, Mexico City 04430, DF, Mexico

[3] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Ed 9, Mexico City 07738, DF, Mexico

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2016年 / 23卷 / 04期

关键词：

coherent states; Lie algebras; pseudoharmonic oscillator; two-dimensional harmonic oscillator; HARMONIC-OSCILLATOR; SU(1,1); SU(2); PHASE;

D O I：

10.1080/14029251.2016.1248158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some properties of the SU (1, 1) Perelomov number coherent states. The Schrodinger's uncertainty relationship is evaluated for a position and momentum-like operators (constructed from the Lie algebra generators) in these number coherent states. It is shown that this relationship is minimized for the standard coherent states. We obtain the time evolution of the number coherent states by supposing that the Hamiltonian is proportional to the third generator K-0 of the su (1, 1) Lie algebra. Analogous results for the SU (2) Perelomov number coherent states are found. As examples, we compute the Perelomov coherent states for the pseudoharmonic oscillator and the two-dimensional isotropic harmonic oscillator.

引用

页码：607 / 619

页数：13

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