Nonlinear displaced fock state representation

作者:Fan, HY*; Cheng, HL
来源:Modern Physics Letters B, 2001, 15(4-5): 163-173.
DOI:10.1142/S0217984901001616

摘要

As a generalization of the nonlinear coherent states we construct nonlinear displaced Fock states (NLDFS). In contrast to the ordinary displaced Fock state, two kinds of NLDFS are introduced, which are composed by nonlinear displacing operator on the nonlinear Fock states Df(alpha)/n > (f) and (f)<n/D-f(-1)(alpha). The over-completeness relation for NLDFS is obtained by virtue of the generalized technique of integration within an ordered product of operators. Generation of some kind of NLDFS is briefly discussed.