Commutation Relations, Normal Ordering, and Stirling Numbers

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CRC Press, 18. sep. 2015 - 528 strani
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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Vsebina

Chapter 1 Introduction
1
Chapter 2 Basic Tools
23
Chapter 3 Stirling and Bell Numbers
51
Chapter 4 Generalizations of Stirling Numbers
79
Chapter 5 Generalizations of Stirling Numbers Normal Ordering
139
Chapter 6 Normal Ordering in the Weyl AlgebraFurther Aspects
183
Chapter 7 The qDeformed Weyl Algebra and the Meromorphic Weyl Algebra
225
Chapter 8 A Generalization of the Weyl Algebra
277
Appendix A Basic Definitions of qCalculus
399
Appendix B Symmetric Functions
401
Appendix C Basic Concepts in Graph Theory
403
Appendix D Definition and Basic Facts of Lie Algebras
405
Appendix E The BakerCampbellHausdorff Formula
409
Appendix F Hilbert Spaces and Linear Operators
411
Bibliography
419
Back Cover
481

Chapter 9 The qDeformed Generalized Weyl Algebra
341
Chapter 10 A Generalization of Touchard Polynomials
375

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O avtorju (2015)

Toufik Mansour is a professor at the University of Haifa. His research interests include enumerative combinatorics and discrete mathematics and its applications. He has authored or co-authored numerous papers in these areas, many of them concerning the enumeration of normal ordering. He earned a PhD in mathematics from the University of Haifa.

Matthias Schork is a member of the IT department at Deutsche Bahn, the largest German railway company. His research interests include mathematical physics as well as discrete mathematics and its applications to physics. He has authored or coauthored many papers focusing on Stirling numbers and normal ordering and its ramifications. He earned a PhD in mathematics from the Johann Wolfgang Goethe University of Frankfurt.

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