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Titlebook: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians; Werner O. Amrein,Anne Boutet de Monvel,Vladimir Ge Book 1996 Spr

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发表于 2025-3-21 18:02:29 | 显示全部楼层 |阅读模式
书目名称C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
编辑Werner O. Amrein,Anne Boutet de Monvel,Vladimir Ge
视频video
概述Well-written research monograph that stimulates the further theory evolution of the field.Self-contained and accessible to advanced students.Provides auxiliary background material and develops the nec
丛书名称Modern Birkhäuser Classics
图书封面Titlebook: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians;  Werner O. Amrein,Anne Boutet de Monvel,Vladimir Ge Book 1996 Spr
描述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 Schrödinger 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 Re
出版日期Book 1996
关键词Mourre‘s commutator theory; algebraic framework for many-body problem; conjugate operator method; funti
版次1
doihttps://doi.org/10.1007/978-3-0348-0733-3
isbn_softcover978-3-0348-0732-6
isbn_ebook978-3-0348-0733-3Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightSpringer Basel 1996
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发表于 2025-3-21 22:54:14 | 显示全部楼层
https://doi.org/10.1007/978-3-662-54252-1In this chapter we present several examples of .0-groups which are frequently used. We shall consider Banach spaces . embedded in .. We know two .-parameter groups acting in ., namely {.(.,.} and {.(.,.)}. If the Banach space . is invariant under one of these groups.
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https://doi.org/10.1007/978-3-662-54252-1In this chapter we specialize some of the considerations of Chap. 5 to the case of unitary ..-groups in a Hilbert space .. The theory of unitary representations .(.) = .. of ℝ. is a very well understood classical subject and will not be presented here.
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Some Examples of ,0,Groups,In this chapter we present several examples of .0-groups which are frequently used. We shall consider Banach spaces . embedded in .. We know two .-parameter groups acting in ., namely {.(.,.} and {.(.,.)}. If the Banach space . is invariant under one of these groups.
发表于 2025-3-22 20:32:22 | 显示全部楼层
Unitary Representations and Regularity for Self-Adjoint Operators,In this chapter we specialize some of the considerations of Chap. 5 to the case of unitary ..-groups in a Hilbert space .. The theory of unitary representations .(.) = .. of ℝ. is a very well understood classical subject and will not be presented here.
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,Quantum–Mechanical ,-Body Systems,The purpose of this chapter is to explain how quantum–mechanical .-body systems (. ≥ 2) fit into the geometric framework presented in this text. Section 10.1 is concerned with the appropriate semilattice of subspaces and Section 10.2 with the associated .-body Hamiltonians.
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https://doi.org/10.1007/978-3-0348-0733-3Mourre‘s commutator theory; algebraic framework for many-body problem; conjugate operator method; funti
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