Quantum diffusions and Appell systems

[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.

[发布日期] 2001-08-01

[效力级别]  Proceedings Paper

[关键词] random walks;Hopf algebras;Appell systems