TY - JOUR

T1 - Dual state vector of nonlinear coherent state and its application in complex P-representation

AU - Fan, Hongyi

AU - Yu, Guichuan

PY - 2001/8/10

Y1 - 2001/8/10

N2 - 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.

AB - 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.

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U2 - 10.1088/0305-4470/34/31/307

DO - 10.1088/0305-4470/34/31/307

M3 - Article

AN - SCOPUS:0035839330

VL - 34

SP - 6127

EP - 6134

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 31

ER -