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

Hongyi Fan, Guichuan Yu

Research output: Contribution to journalArticle

3 Scopus 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.

Original languageEnglish (US)
Pages (from-to)6127-6134
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number31
DOIs
StatePublished - Aug 10 2001

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