Toufik Mansour, Matthias Schork

Commutation Relations, Normal Ordering, and Stirling Numbers

• Gebundenes Buch

Produktbeschreibung

This book provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. It discusses the Stirling numbers, closely related generalizations, and their role as normal ordering coefficients in the Weyl algebra. In addition to the combinatorial aspects, the book presents the relation to operational calculus and describes the physical motivation for ordering words in the Weyl algebra arising from quantum theory, along with some applications.

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Produktdetails

• Verlag: CRC Press
• Seitenzahl: 504
• Erscheinungstermin: 21. September 2015
• Englisch
• Abmessung: 261mm x 182mm x 32mm
• Gewicht: 1135g
• ISBN-13: 9781466579880
• ISBN-10: 1466579889
• Artikelnr.: 42606717

Autorenporträt

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.

Inhaltsangabe

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. Appendices.