Werner O. Amrein / Vladimir Georgescu / Anne Boutet de Monvel
C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
- Springer Basel
- 2013
- Taschenbuch
- 476 Seiten
- ISBN 9783034807326
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
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