Ordering of the Exponential of Quadratic Forms in Boson Operators and Some Applications
A. D. Jannussis, A. Streclas, N. Patargias, D. Sourlas, Kostas Vlachos · Physica Scripta · 1978
In the present paper we order operators of the general form exp [αa2+ βa+2+ γ(a+a+aa+) + δa+ ϵa+], using parametric differentiation. Using this ordered form we derive the density matrices and the canonical Wigner distribution function of the harmonic oscillator and of the electromagnetic field in a simple straightforward manner.