Open AccessAmplitude-squared squeezing of Roy-type even and odd nonlinear coherent states in a finite-dimensional Hilbert space
Author(s) -
XiangGuo Meng,
JiSuo Wang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.1774
Subject(s) - amplitude , hilbert space , nonlinear system , completeness (order theory) , unitary state , mathematics , physics , quantum mechanics , type (biology) , space (punctuation) , coherent states , mathematical physics , phase space , mathematical analysis , law , quantum , ecology , linguistics , philosophy , political science , biology
The Roy-type even and odd nonlinear coherent states in a finite-dimensional Hilbert space are constructed. Their amplitude-squared squeezing effect, orthonormalized property, unitary property and completeness relations are discussed. The results reveal the existence of unitary property, completeness relations and non-orthonormalized property. There exists the amplitude-squared squeezing effect for the Roy-type even and odd nonlinear coherent states when the phase θ of parameter β meets the fixed condition. The relations between conditions of squeezing effect and parameters s,r and function f(n) are given. Finally using the numerical method, it is found that in some different ranges of r, the amplitude-squared squeezing effect exists in Roy-type even and odd nonlinear coherent states field in a finite-dimensional Hilbert space when the parameters s,θ and Lamb-Dike parameter η are given as the fixed value.