Generalized su(1,1) algebra and the construction of nonlinear coherent states for Poschl-Teller potential

被引：5

作者：

Belfakir, Abdessamad ^{[1
]}

Hassouni, Yassine ^{[1
]}

机构：

[1] Mohammed V Univ, Fac Sci, Equipe Sci Matiere & Rayonnement ESMAR, Av Ibn Battouta,BP 1014, Rabat, Morocco

来源：

PHYSICS LETTERS A | 2020年 / 384卷 / 24期

关键词：

Generalized Heisenberg algebra (GHA); su(1,1) algebra; Coherent state; Poschl-Teller potential; DEFORMATION ALGEBRA; PHYSICAL SYSTEM; WELL; SU(2);

D O I：

10.1016/j.physleta.2020.126603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a generalization structure of the su(1,1) algebra which depends on a function of one generator of the algebra, f(H). Following the same ideas developed to the generalized Heisenberg algebra (GHA) and to the generalized su(2), we show that a symmetry is present in the sequence of eigenvalues of one generator of the algebra. Then, we construct the Barut-Girardello coherent states associated with the generalized su(1,1) algebra for a particle in a Poschl-Teller potential. Furthermore, we compare the time evolution of the uncertainty relation of the constructed coherent states with that of GHA coherent states. The generalized su(1,1) coherent states are very localized. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

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