Toufik Mansour, Matthias Schork

Commutation Relations, Normal Ordering, and Stirling Numbers (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 528
• Erscheinungstermin: 18. September 2015
• Englisch
• ISBN-13: 9781466579897
• Artikelnr.: 43975600

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.