C[0]-groups, commutator methods and spectral theory of N-Body Hamiltonians
著者
書誌事項
C[0]-groups, commutator methods and spectral theory of N-Body Hamiltonians
（Modern Birkhäuser classics）
Birkhäuser , Springer, [2013]
- タイトル別名
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Progress in mathematics
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注記
"Reprint of the 1966 edition"--T.p.
On t.p. "[o]" is subscript
"Reprint of the 1st edition 1996 by Birkhäuser Verlag、Switzerland, originally published as v. 135 in the Progress in mathematics series"--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
The conjugate operator method is a powerful recently developed 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 Schroedinger hamiltonians. Another topic is a new algebraic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamiltonians. 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. Certainly this monograph (containing a bibliography of 170 items) is a well-written contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews)
目次
Preface.- Comments on notations.- 1 Some Spaces of Functions and Distributions.- 2 Real Interpolation of Banach Spaces.- 3 C0-Groups and Functional Calculi.- 4 Some Examples of C0-Groups.- 5 Automorphisms Associated to C0-Representations.- 6 Unitary Representations and Regularity.- 7 The Conjugate Operator Method.- 8 An Algebraic Framework for the Many-Body Problem.- 9 Spectral Theory of N-Body Hamiltonians.- 10 Quantum-Mechanical N-Body Systems.- Bibliography.- Notations.- Index.
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