C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians (eBook, PDF)

C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians (eBook, PDF)

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The relevance of commutator methods in spectral and scattering theory has been known for a long time, and numerous interesting results have been ob tained by such methods. The reader may find a description and references in the books by Putnam [Pu], Reed-Simon [RS] and Baumgartel-Wollenberg [BW] for example. A new point of view emerged around 1979 with the work of E. Mourre in which the method of locally conjugate operators was introduced. His idea proved to be remarkably fruitful in establishing detailed spectral properties of N-body Hamiltonians. A problem that was considered extremely diffi...

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