General solution of the three-site master equation and the discrete Riccati equation
Reyes, M. A. ; Rosu, H. C.
arXiv, 9706193 / Harvested from arXiv
Text on arXiv
We 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
Publié le : 1997-06-18
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{9706193,
     author = {Reyes, M. A. and Rosu, H. C.},
     title = {General solution of the three-site master equation and the discrete
  Riccati equation},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9706193}
}

Reyes, M. A.; Rosu, H. C. General solution of the three-site master equation and the discrete
  Riccati equation. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9706193/