Book description
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
- Front Cover (1/2)
- Front Cover (2/2)
- Contents (1/2)
- Contents (2/2)
- List of Figures
- List of Tables
- Preface
- Acknowledgment
- About the Authors
- Chapter 1 Introduction (1/5)
- Chapter 1 Introduction (2/5)
- Chapter 1 Introduction (3/5)
- Chapter 1 Introduction (4/5)
- Chapter 1 Introduction (5/5)
- Chapter 2 Basic Tools (1/6)
- Chapter 2 Basic Tools (2/6)
- Chapter 2 Basic Tools (3/6)
- Chapter 2 Basic Tools (4/6)
- Chapter 2 Basic Tools (5/6)
- Chapter 2 Basic Tools (6/6)
- Chapter 3 Stirling and Bell Numbers (1/6)
- Chapter 3 Stirling and Bell Numbers (2/6)
- Chapter 3 Stirling and Bell Numbers (3/6)
- Chapter 3 Stirling and Bell Numbers (4/6)
- Chapter 3 Stirling and Bell Numbers (5/6)
- Chapter 3 Stirling and Bell Numbers (6/6)
- Chapter 4 Generalizations of Stirling Numbers (1/12)
- Chapter 4 Generalizations of Stirling Numbers (2/12)
- Chapter 4 Generalizations of Stirling Numbers (3/12)
- Chapter 4 Generalizations of Stirling Numbers (4/12)
- Chapter 4 Generalizations of Stirling Numbers (5/12)
- Chapter 4 Generalizations of Stirling Numbers (6/12)
- Chapter 4 Generalizations of Stirling Numbers (7/12)
- Chapter 4 Generalizations of Stirling Numbers (8/12)
- Chapter 4 Generalizations of Stirling Numbers (9/12)
- Chapter 4 Generalizations of Stirling Numbers (10/12)
- Chapter 4 Generalizations of Stirling Numbers (11/12)
- Chapter 4 Generalizations of Stirling Numbers (12/12)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (1/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (2/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (3/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (4/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (5/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (6/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (7/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (8/9)
- Chapter 5 Generalizations of Stirling Numbers Normal Ordering (9/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (1/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (2/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (3/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (4/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (5/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (6/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (7/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (8/9)
- Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (9/9)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (1/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (2/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (3/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (4/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (5/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (6/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (7/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (8/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (9/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (10/11)
- Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (11/11)
- Chapter 8 A Generalization of the Weyl Algebra (1/13)
- Chapter 8 A Generalization of the Weyl Algebra (2/13)
- Chapter 8 A Generalization of the Weyl Algebra (3/13)
- Chapter 8 A Generalization of the Weyl Algebra (4/13)
- Chapter 8 A Generalization of the Weyl Algebra (5/13)
- Chapter 8 A Generalization of the Weyl Algebra (6/13)
- Chapter 8 A Generalization of the Weyl Algebra (7/13)
- Chapter 8 A Generalization of the Weyl Algebra (8/13)
- Chapter 8 A Generalization of the Weyl Algebra (9/13)
- Chapter 8 A Generalization of the Weyl Algebra (10/13)
- Chapter 8 A Generalization of the Weyl Algebra (11/13)
- Chapter 8 A Generalization of the Weyl Algebra (12/13)
- Chapter 8 A Generalization of the Weyl Algebra (13/13)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (1/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (2/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (3/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (4/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (5/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (6/7)
- Chapter 9 The q-Deformed Generalized Weyl Algebra (7/7)
- Chapter 10 A Generalization of Touchard Polynomials (1/5)
- Chapter 10 A Generalization of Touchard Polynomials (2/5)
- Chapter 10 A Generalization of Touchard Polynomials (3/5)
- Chapter 10 A Generalization of Touchard Polynomials (4/5)
- Chapter 10 A Generalization of Touchard Polynomials (5/5)
- 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 (1/2)
- Appendix F Hilbert Spaces and Linear Operators (2/2)
- Bibliography (1/13)
- Bibliography (2/13)
- Bibliography (3/13)
- Bibliography (4/13)
- Bibliography (5/13)
- Bibliography (6/13)
- Bibliography (7/13)
- Bibliography (8/13)
- Bibliography (9/13)
- Bibliography (10/13)
- Bibliography (11/13)
- Bibliography (12/13)
- Bibliography (13/13)
- Back Cover
Product information
- Title: Commutation Relations, Normal Ordering, and Stirling Numbers
- Author(s):
- Release date: September 2015
- Publisher(s): Chapman and Hall/CRC
- ISBN: 9781466579897
You might also like
book
Combinatorics of Set Partitions
Focusing on a very active area of mathematical research in the last decade, this book presents …
book
Algebraic Operads
Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Grobner bases in several contexts. The …
book
The Separable Galois Theory of Commutative Rings, 2nd Edition
The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of …
book
Combinatory Logic
Combinatory logic is a versatile field that is connected to philosophical, mathematical, and computational logic. This …