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Physica Scripta

Ordering of the Exponential of Quadratic Forms in Boson Operators and Some Applications

A. D. Jannussis, A. Streclas, N. Patargias, D. Sourlas, Kostas Vlachos

Published Jul 1, 1978• 10 citations
Publisher

Abstract

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.
DOI
10.1088/0031-8949/18/1/004

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