title: Explicit state vector for Torres-Vega-Frederick phase space representation and its statistical behavior.
abstract: We find the explicit state vector for Torres-Vega-Frederick phase space representation [Go. Torres-Vega and J. H. Frederick, J. Chem. Phys. 98, 3103 (1993)], denoted by Gamma. This set of states make up a complete and nonorthogonal representation. The Weyl ordered form of Gamma Gamma [see text for the sign] is derived, which can clearly exhibit the statistical behavior of marginal distribution of Gamma Gamma [see text for the sign]. The minimum uncertainty relation for mid R:Gamma is demonstrated, which shows it being a coherent squeezed state.
authors.affiliation: Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China. hlyun@sjtu.edu.cn
authors.forename: Li-yun
authors.initials: LY
authors.lastname: Hu
authors.forename: Hong-yi
authors.initials: HY
authors.lastname: Fan
authors.forename: Hai-liang
authors.initials: HL
authors.lastname: Lu