The construction of some important classes of generalized coherent states: the nonlinear coherent states method
Abstract
Considering some important classes of generalized coherent states known in the literature, we demonstrated that all of them can be created via conventional methods, i.e. the 'lowering operator eigenstate' and the 'displacement operator' techniques using the 'nonlinear coherent states' approach. As a result we obtained a 'unified method' to construct a large class of coherent states which have already been introduced by different prescriptions.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 August 2004
 DOI:
 10.1088/03054470/37/33/010
 arXiv:
 arXiv:quantph/0403003
 Bibcode:
 2004JPhA...37.8111R
 Keywords:

 Nonlinear coherent states moment problem;
 Quantum Physics
 EPrint:
 17pages, The section 7 in last version is revised, Some references are added