Dynamics in the Diagonal Coherent-State Representation

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Abstract
The problem of following the dynamical behavior of a quantum‐mechanical system in the diagonal coherent‐state representation is examined for those systems whose time evolution is specified by equations of motion for the coherent‐state weight functional which resemble Fokker‐Planck equations but have non‐positive‐definite diffusion matrices. A particular equation of this type describing a linear parametric process is considered in detail and several proposed generalizations of the diagonal representation, which include dynamical effects of the atomic system coupled to the electromagnetic field in simple models of a unimodal laser, are also briefly discussed.