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
Clasificación:Libro Electrónico
Autores principales: Mansour, Toufik (Autor), Schork, Matthias (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton : CRC Press, [2016]
Colección:Discrete mathematics and its applications.
Temas:
Combinatorial set theory.
Mathematics.
Mathematics
Théorie combinatoire des ensembles.
Mathématiques.
MATHEMATICS > General.
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • Introduction
  • Basic tools
  • Stirling and bell numbers
  • Generalizations of stirling numbers
  • The Weyl algebra, quantum theory, and normal ordering
  • Normal ordering in the Weyl algebra
  • further aspects
  • The q-deformed Weyl algebra and the meromorphic Weyl algebra
  • A generalization of the Weyl algebra
  • The q-deformed generalized Weyl algebra
  • A generalization of touchard polynomials
  • Appendix A Basic definitions of q-calculus
  • Appendix B Symmetric functions
  • Appendix C Basic concepts in graph theory
  • Appendix D Definition and basic facts of lie algebras
  • Appendix E The Baker-Campbell-Hausdorff formula
  • Appendix F Hilbert spaces and linear operators
  • Bibliography.

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