## Commutation Relations, Normal Ordering, and Stirling NumbersCommutation 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 The book is a one-stop reference on the research activities and known results of normal ordering and Stirling numbers. It discusses the Stirling numbers, closely related generalizations, and their role as normal ordering coefficients in the Weyl algebra. The book also considers several relatives of this algebra, all of which are special cases of the algebra in which |

### Mnenja - Napišite recenzijo

### Vsebina

1 | |

Chapter 2 Basic Tools | 23 |

Chapter 3 Stirling and Bell Numbers | 51 |

Chapter 4 Generalizations of Stirling Numbers | 79 |

Chapter 5 Generalizations of Stirling Numbers Normal Ordering | 139 |

Chapter 6 Normal Ordering in the Weyl AlgebraFurther Aspects | 183 |

Chapter 7 The qDeformed Weyl Algebra and the Meromorphic Weyl Algebra | 225 |

Chapter 8 A Generalization of the Weyl Algebra | 277 |

Appendix A Basic Definitions of qCalculus | 399 |

Appendix B Symmetric Functions | 401 |

Appendix C Basic Concepts in Graph Theory | 403 |

Appendix D Definition and Basic Facts of Lie Algebras | 405 |

Appendix E The BakerCampbellHausdorff Formula | 409 |

Appendix F Hilbert Spaces and Linear Operators | 411 |

Bibliography | 419 |

Back Cover | 481 |

Chapter 9 The qDeformed Generalized Weyl Algebra | 341 |

Chapter 10 A Generalization of Touchard Polynomials | 375 |

### Druge izdaje - Prikaži vse

Commutation Relations, Normal Ordering, and Stirling Numbers Toufik Mansour,Matthias Schork Predogled ni na voljo - 2015 |