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.
UR - http://www.scopus.com/inward/record.url?scp=0035839330&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035839330&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/34/31/307
DO - 10.1088/0305-4470/34/31/307
M3 - Article
AN - SCOPUS:0035839330
SN - 0305-4470
VL - 34
SP - 6127
EP - 6134
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 31
ER -