Quantum diffusions and Appell systems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:133

Article; Proceedings Paper

Ellinas, D

关键词: random walks;    Hopf algebras;    Appell systems;   

DOI  :  10.1016/S0377-0427(00)00652-X

来源: Elsevier

【 摘 要 】

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,. 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. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free