1996/01/24 by Jamil Daboul
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Numerical methods for differential equations #hep-th
paper · pdf · doi:10.1016/0375-9601(96)00039-4
9 pages. Latex. To be published in Phys. Lett. A
arxiv created 1996/01/24 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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;σp-1,σq) depends on two squeezing parameters σp and σq, and is shown to obey a generalized pseudo-diffusion equation or a diffusion equation, depending on the curve (σp(μ),σq(μ)) along which one moves in the (σp,σq) plane. An algorithm is also given for squeezing Q functions directly, using one-dimensional diffusion propagators.