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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Detalles Bibliográficos
Otros Autores: Mansour, Toufik, author (author), Schork, Matthias, author
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boca Raton : CRC Press [2016]
Edición:1st edition
Colección:Discrete mathematics and its applications.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009630059806719
Tabla de Contenidos:
  • 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.