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....

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Bibliographic Details
Other Authors: Mansour, Toufik, author (author), Schork, Matthias, author
Format: eBook
Language:Inglés
Published: Boca Raton : CRC Press [2016]
Edition:1st edition
Series:Discrete mathematics and its applications.
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.