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 Reviews)