Quantum Diffusions and Appell Systems
Quantum Physics
2015-06-26 v1 Mathematical Physics
math.MP
Abstract
Within the algebraic framework of Hopf algebras, random walks and associated diffusion equations (master equations) are constructed and studied for two basic operator algebras of Quantum Mechanics i.e the Heisenberg-Weyl algebra (hw) and its q-deformed version hw_q. This is done by means of functionals determined by the associated coherent state density operators. The ensuing master equations admit solutions given by hw and hw_q-valued Appell systems.
Cite
@article{arxiv.quant-ph/0001047,
title = {Quantum Diffusions and Appell Systems},
author = {Demosthenes Ellinas},
journal= {arXiv preprint arXiv:quant-ph/0001047},
year = {2015}
}
Comments
Latex 12 pages, no figures. Submitted to Journal of Computational and Applied Mathematics. Special Issue of Proccedings of Fifth Inter. Symp. on Orthogonal Polynomaials, Special Functions and their Applications