The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method

Details The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method

2004-02-29

arxiv.org/abs/quant-ph/0403003v2

J. Phys.A,: Math. Gen. 37 (2004) 8111-8127

Physics

Quantum Physics

17pages, The section 7 in last version is revised, Some references are added

Scientific paper

10.1088/0305-4470/37/33/010

Considering some important classes of generalized coherent states known in literature, we demonstrated that all of them can be created via conventional fashion, i.e. the "lowering operator eigen-state" and the "displacement operator" techniques using the {\it "nonlinear coherent states"} approach. As a result we obtained a {\it "unified method"} to construct a large class of coherent states which already have been introduced by different prescriptions.

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