Commutation relations, normal ordering, and Stirling numbers

by Mansour, Toufik

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Title Statements

Full title :Commutation relations, normal ordering, and Stirling numbers / Toufik Mansour, Matthias Schork.

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Chapman & Hall/CRC
Place of Publication:Boca Raton
Language:eng
Publication Date:2015.

The Physical Object

Description:xxiii, 504 pages : : illustrations ; : 27 cm

Edition Identifiers

ISBN:9781466579880, 1466579889
oclc:on1062336302
Dewey Decimal:511.322

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.