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. It is a classical result that normal ordering pow.
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- Full title :Commutation relations, normal ordering, and stirling numbers / Toufik Mansour and Matthias Schork.
Summary
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. It is a classical result that normal ordering pow.
Read More ↓Edition Statements
- Publication Date:©2016
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:©2016
The Physical Object
- Description:1 online resource (xxiii, 480 pages)
Edition Identifiers
- ISBN:1466579897, 9781466579897, 1466579889, 9781466579880, 0429101228, 9780429101229
- DOI:10.1201/b18869
- oclc:ocn921188577
- LC Classification:QA164
- Dewey Decimal:511/.6
Table of Contents
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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