Commutation Relations, Normal Ordering, and Stirling Numbers.
Commutation Relations, Normal Ordering, and Stirling Numbers
Toufik Mansour and Matthias Schork
Discrete Mathematics and Its Applications
Mansour and Schork introduce combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. They write for graduate and advanced undergraduate students in discrete mathematics and for graduate students and researchers in physics who are interested in combinatorial aspects of normal ordering operators. The book can also serve as a bibliographic reference to recent research, known results, and research directions in the field, they say. Among their topics are basic tools, Stirling and Bell numbers, normal ordering in the Weyl algebra, a generalization of the Weyl algebra, and the q-deformed generalized Weyl algebra. ([umlaut] Ringgold, Inc., Portland, OR)