Commutation relations, normal ordering, and Stirling numbers /
Toufik Mansour, University of Haifa, Israel; Matthias Schork.
- 1 online resource
- Discrete mathematics and its applications .
- Discrete mathematics and its applications. .
A Chapman and Hall book.
Includes bibliographical references (pages 419-480) and indexes.
1. Introduction -- 2. Basic tools -- 3. Stirling and Bell numbers -- 4. Generalizations of Stirling numbers -- 5. The Weyl algebra, quantum theory, and normal ordering -- 6. Normal ordering in the Weyl algebra : further aspects -- 7. The q-deformed Weyl algebra and the meromorphic Weyl algebra -- 8. A generalization of the Weyl algebra -- 9. The q-deformed generalized Weyl algebra -- 10. A generalization of Touchard polynomials.