Commutation Relations, Normal Ordering, and Stirling Numbers

Toufik Mansour, Matthias Schork

• Publisher: Chapman and Hall/CRC
• Year: 2015
• Print ISBN: 9780367849603
• eBook ISBN: 9781040060520
• Topic: Mathematics
• Subtopic: Arithmetic
• Index: Mathematics

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

Table of contents

• Cover
• Halftitle Page
• Discrete Mathematics its Applications
• Title Page
• Copyright Page
• Table of Contents
• List of Figures
• List of Tables
• Preface
• Acknowledgment
• About the Authors
• Chapter 1 Introduction
• Chapter 2 Basic Tools
• Chapter 3 Stirling and Bell Numbers
• Chapter 4 Generalizations of Stirling Numbers
• Chapter 5 The Weyl Algebra, Quantum Theory, and Normal Ordering
• Chapter 6 Normal Ordering in the Weyl Algebra – Further Aspects
• Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra
• Chapter 8 A Generalization of the Weyl Algebra
• Chapter 9 The q-Deformed Generalized Weyl Algebra
• Chapter 10 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
• Subject Index
• Author Index