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arXiv · hep-th/9601127

Forward-Backward Squeezing Propagator

Jamil Daboul
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Abstract

I show that a usual propagator cannot be defined for the pseudo-diffusion equation of the Q-functions. Instead, a forward-backward propagator is defined, which motivated a generalization of Cahill-Glauber interpolating operator. Our generalized operator ${\bf Q}(p,q;σ_p^{-1},σ_q)$ depends on two squeezing parameters $σ_p$ and $σ_q$, and is shown to obey a generalized pseudo-diffusion equation or a diffusion equation, depending on the curve $(σ_p(μ),σ_q(μ))$ along which one moves in the $(σ_p,σ_q)$ plane. An algorithm is also given for squeezing Q functions directly, using one-dimensional diffusion propagators.

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Jamil Daboul. 1996-01-24. Forward-Backward Squeezing Propagator. https://doi.org/10.1016/0375-9601(96)00039-4

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