Quantum Diffusions and Appell Systems

Details Quantum Diffusions and Appell Systems Quantum Diffusions and Appell Systems

2000-01-13

arxiv.org/abs/quant-ph/0001047v1

Physics

Quantum Physics

Latex 12 pages, no figures. Submitted to Journal of Computational and Applied Mathematics. Special Issue of Proccedings of Fif

Scientific paper

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.

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