Commutation relations, normal ordering, and Stirling numbers
Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation relation UV - VU = I....
Other Authors: | , |
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Format: | eBook |
Language: | Inglés |
Published: |
Boca Raton :
CRC Press
[2016]
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Edition: | 1st edition |
Series: | Discrete mathematics and its applications.
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Subjects: | |
See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009630059806719 |
Table of Contents:
- 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.