Commutation relations, normal ordering, and stirling numbers /
[Book]
Toufik Mansour and Matthias Schork
Boca Raton :
CRC Press,
[2016]
xxiii, 504 pages :
illustrations ;
26 cm
Discrete mathematics and its applications
Includes bibliographical references (pages 419-480)
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