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C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians (Paperback, 1996. Reprint 2013 of the 1996 edition)
Loot Price: R1,522
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C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians (Paperback, 1996. Reprint 2013 of the 1996 edition)
Series: Modern Birkhauser Classics
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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)
General
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