Explicit state vector for Torres-Vega–Frederick phase space representation and its statistical behavior.

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 |Γ>. This set of states make up a complete and nonorthogonal representation. The Weyl ordered form of |Γ≥≤Γ| is derived, which can clearly exhibit the statistical behavior of marginal distribution of |Γ≥≤Γ|. The minimum uncertainty relation for |Γ> is demonstrated, which shows it being a coherent squeezed state [ABSTRACT FROM AUTHOR]