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

2004/03/31 by R. Roknizadeh, M. K. Tavassoly
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1088/0305-4470/37/33/010

published as J. Phys.A,: Math. Gen. 37 (2004) 8111-8127 · 17pages, The section 7 in last version is revised, Some references are added

arxiv created 2004/08/07 · arxiv updated 2009/12/01

Abstract

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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