# C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135

### C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135 Synopsis

The conjugate operator method is a powerful recently develop- ed technique for studying spectral properties of self-adjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudo-differential operators and N- body Schrödinger hamiltonians. Another topic is a new algeb- raic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamil- tonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially self-contained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multi-parameter C0-groups.

### C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135 Table Of Content

Preface | ||

Comments on notations | ||

Ch. 1 | Some Spaces of Functions and Distributions | |

Ch. 2 | Real Interpolation of Banach Spaces | |

Ch. 3 | C[subscript 0]-Groups and Functional Calculi | |

Ch. 4 | Some Examples of C[subscript 0]-Groups | |

Ch. 5 | Automorphisms Associated to C[subscript 0]-Representations | |

Ch. 6 | Unitary Representations and Regularity | |

Ch. 7 | The Conjugate Operator Method | |

Ch. 8 | An Algebraic Framework for the Many-Body Problem | |

Ch. 9 | Spectral Theory of N-Body Hamiltonians | |

Ch. 10 | Quantum-Mechanical N-Body Systems | |

Bibliography | ||

Notations | ||

Index |

### Readers' Reviews

### Book Info

**Book Format:**Hardcover**ISBN-13:**9783764353650**ISBN-10:**3764353651