On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well

OPTICS COMMUNICATIONS

卷:298

Article

Jalali, H. R.¹  Tavassoly, M. K.^1,2 

[1] Yazd Univ, Atom & Mol Grp, Fac Phys, Yazd, Iran

[2] Yazd Univ, Photon Res Grp, Engn Res Ctr, Yazd, Iran

关键词: Infinite potential well;    Factorization method;    Ladder operators;    Coherent state;    Nonclassical state;   

DOI  :  10.1016/j.optcom.2013.02.006

来源: Elsevier

【 摘 要 】

In this paper the factorization method is used in order to obtain the eigenvalues and eigenfunctions of a quantum particle confined in a one-dimensional infinite well. The output results from the mentioned approach allow us to explore an appropriate new pair of raising and lowering operators corresponding to the physical system under consideration. From the symmetrical considerations, the connection between the obtained ladder operators with su(1,1) Lie algebra is explicitly established. Next, after the construction of Barut-Girardello and Gilmore-Perelomov representations of coherent states associated with the considered system, some of their important properties like the resolution of the identity including a few nonclassical features are illustrated in detail. Finally, a theoretical scheme for generation of the Gilmore-Perelomov type of coherent state via a generalized Jaynes-Cummings model is proposed. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

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