General solution of the three-site master equation and the discrete Riccati equation

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dc.creatorReyes, M. A.
dc.creatorRosu, H. C.
dc.date1997-06-18
dc.date1999-07-22
dc.date.accessioned2026-07-07T09:02:43Z
dc.date.available2026-07-07T09:02:43Z
dc.descriptionWe first obtain by analogy with the continuous (differential) case the general solution of a discrete Riccati equation. Our results can be considered the discrete analog of Mielnik's construction in supersymmetric quantum mechanics [J. Math. Phys. 25, 3387 (1984)]. Moreover, we establish the full equivalence between our discrete Riccati equation and a corresponding homogeneous second order discrete linear equation. We present an application to the three-site master equation obtaining explicitly the general solutions for the simple cases of free random walk and the biased random walk
dc.description5pp, no figs; based on a talk at the UIC workshop on integrable models and supersymmetry (June 12-14/97) by author Rosu
dc.identifierhttps://arxiv.org/abs/cond-mat/9706193
dc.identifierhttp://arxiv.org/abs/cond-mat/9706193
dc.identifierNuovo Cimento B 114 (June 1999) 717-722
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148732
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleGeneral solution of the three-site master equation and the discrete Riccati equation
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