Forward-Backward Squeezing Propagator

Details Forward-Backward Squeezing Propagator Forward-Backward Squeezing Propagator

1996-01-24

arxiv.org/abs/hep-th/9601127v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. Latex. To be published in Phys. Lett. A

Scientific paper

10.1016/0375-9601(96)00039-4

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 ${\bf Q}(p,q;\sigma_p^{-1},\sigma_q)$ depends on two squeezing parameters $\sigma_p$ and $\sigma_q$, and is shown to obey a generalized pseudo-diffusion equation or a diffusion equation, depending on the curve $(\sigma_p(\mu),\sigma_q(\mu))$ along which one moves in the $(\sigma_p,\sigma_q)$ plane. An algorithm is also given for squeezing Q functions directly, using one-dimensional diffusion propagators.

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