Commutation Relations, Normal Ordering, and Stirling Numbers

Commutation Relations, Normal Ordering, and Stirling Numbers

by Toufik Mansour, Matthias Schork
Released September 2015
Publisher(s): Chapman and Hall/CRC
ISBN: 9781466579897

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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

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents (1/2)
  4. Contents (2/2)
  5. List of Figures
  6. List of Tables
  7. Preface
  8. Acknowledgment
  9. About the Authors
  10. Chapter 1 Introduction (1/5)
  11. Chapter 1 Introduction (2/5)
  12. Chapter 1 Introduction (3/5)
  13. Chapter 1 Introduction (4/5)
  14. Chapter 1 Introduction (5/5)
  15. Chapter 2 Basic Tools (1/6)
  16. Chapter 2 Basic Tools (2/6)
  17. Chapter 2 Basic Tools (3/6)
  18. Chapter 2 Basic Tools (4/6)
  19. Chapter 2 Basic Tools (5/6)
  20. Chapter 2 Basic Tools (6/6)
  21. Chapter 3 Stirling and Bell Numbers (1/6)
  22. Chapter 3 Stirling and Bell Numbers (2/6)
  23. Chapter 3 Stirling and Bell Numbers (3/6)
  24. Chapter 3 Stirling and Bell Numbers (4/6)
  25. Chapter 3 Stirling and Bell Numbers (5/6)
  26. Chapter 3 Stirling and Bell Numbers (6/6)
  27. Chapter 4 Generalizations of Stirling Numbers (1/12)
  28. Chapter 4 Generalizations of Stirling Numbers (2/12)
  29. Chapter 4 Generalizations of Stirling Numbers (3/12)
  30. Chapter 4 Generalizations of Stirling Numbers (4/12)
  31. Chapter 4 Generalizations of Stirling Numbers (5/12)
  32. Chapter 4 Generalizations of Stirling Numbers (6/12)
  33. Chapter 4 Generalizations of Stirling Numbers (7/12)
  34. Chapter 4 Generalizations of Stirling Numbers (8/12)
  35. Chapter 4 Generalizations of Stirling Numbers (9/12)
  36. Chapter 4 Generalizations of Stirling Numbers (10/12)
  37. Chapter 4 Generalizations of Stirling Numbers (11/12)
  38. Chapter 4 Generalizations of Stirling Numbers (12/12)
  39. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (1/9)
  40. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (2/9)
  41. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (3/9)
  42. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (4/9)
  43. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (5/9)
  44. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (6/9)
  45. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (7/9)
  46. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (8/9)
  47. Chapter 5 Generalizations of Stirling Numbers Normal Ordering (9/9)
  48. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (1/9)
  49. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (2/9)
  50. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (3/9)
  51. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (4/9)
  52. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (5/9)
  53. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (6/9)
  54. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (7/9)
  55. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (8/9)
  56. Chapter 6 Normal Ordering in the Weyl Algebra-Further Aspects (9/9)
  57. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (1/11)
  58. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (2/11)
  59. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (3/11)
  60. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (4/11)
  61. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (5/11)
  62. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (6/11)
  63. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (7/11)
  64. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (8/11)
  65. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (9/11)
  66. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (10/11)
  67. Chapter 7 The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (11/11)
  68. Chapter 8 A Generalization of the Weyl Algebra (1/13)
  69. Chapter 8 A Generalization of the Weyl Algebra (2/13)
  70. Chapter 8 A Generalization of the Weyl Algebra (3/13)
  71. Chapter 8 A Generalization of the Weyl Algebra (4/13)
  72. Chapter 8 A Generalization of the Weyl Algebra (5/13)
  73. Chapter 8 A Generalization of the Weyl Algebra (6/13)
  74. Chapter 8 A Generalization of the Weyl Algebra (7/13)
  75. Chapter 8 A Generalization of the Weyl Algebra (8/13)
  76. Chapter 8 A Generalization of the Weyl Algebra (9/13)
  77. Chapter 8 A Generalization of the Weyl Algebra (10/13)
  78. Chapter 8 A Generalization of the Weyl Algebra (11/13)
  79. Chapter 8 A Generalization of the Weyl Algebra (12/13)
  80. Chapter 8 A Generalization of the Weyl Algebra (13/13)
  81. Chapter 9 The q-Deformed Generalized Weyl Algebra (1/7)
  82. Chapter 9 The q-Deformed Generalized Weyl Algebra (2/7)
  83. Chapter 9 The q-Deformed Generalized Weyl Algebra (3/7)
  84. Chapter 9 The q-Deformed Generalized Weyl Algebra (4/7)
  85. Chapter 9 The q-Deformed Generalized Weyl Algebra (5/7)
  86. Chapter 9 The q-Deformed Generalized Weyl Algebra (6/7)
  87. Chapter 9 The q-Deformed Generalized Weyl Algebra (7/7)
  88. Chapter 10 A Generalization of Touchard Polynomials (1/5)
  89. Chapter 10 A Generalization of Touchard Polynomials (2/5)
  90. Chapter 10 A Generalization of Touchard Polynomials (3/5)
  91. Chapter 10 A Generalization of Touchard Polynomials (4/5)
  92. Chapter 10 A Generalization of Touchard Polynomials (5/5)
  93. Appendix A Basic Definitions of q-Calculus
  94. Appendix B Symmetric Functions
  95. Appendix C Basic Concepts in Graph Theory
  96. Appendix D Definition and Basic Facts of Lie Algebras
  97. Appendix E The Baker–Campbell–Hausdorff Formula
  98. Appendix F Hilbert Spaces and Linear Operators (1/2)
  99. Appendix F Hilbert Spaces and Linear Operators (2/2)
  100. Bibliography (1/13)
  101. Bibliography (2/13)
  102. Bibliography (3/13)
  103. Bibliography (4/13)
  104. Bibliography (5/13)
  105. Bibliography (6/13)
  106. Bibliography (7/13)
  107. Bibliography (8/13)
  108. Bibliography (9/13)
  109. Bibliography (10/13)
  110. Bibliography (11/13)
  111. Bibliography (12/13)
  112. Bibliography (13/13)
  113. Back Cover

Product information

  • Title: Commutation Relations, Normal Ordering, and Stirling Numbers
  • Author(s): Toufik Mansour, Matthias Schork
  • Release date: September 2015
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781466579897