Journal of Physics A Mathematical and General

Dual state vector of nonlinear coherent state and its application in complex P-representation

Hong-Yi Fan, Guichuan Yu

Published Jul 27, 2001• 3 citations

Abstract

We introduce the dual vector | z , f ( n )⟩ * of a single-mode nonlinear coherent state (NCS) by using the contour integral form of δ-function, and the explicit form of | z , f ( n )⟩ * is obtained in enlarged Hilbert space. The nonlinear Fock states and their contour representation are deduced. A new completeness relation composed of | z , f ( n )⟩ * and NCS in contour integral form is derived and its application in constructing a complex P-representation of density operators is shown.

DOI: 10.1088/0305-4470/34/31/307

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