Titlebook: Schrödinger Operators The Quantum Mechanical Many-Body Problem; Proceedings of a Wor Erik Balslev Conference proceedings 1992 Springer-Verl

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,Perturbations of Generalized Schrödinger Operators in Stochastic Spectral Analysis,groups, also called generalized Schrödinger operators. Upon introducing the Kato-Feller norm, the asymptotic behaviour of several spectral data can be studied. In the present article mainly the convergence of scattering matrices is considered.

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,Spectral Theory of Schrödinger Operators with Very Long Range Potentials, function of class .. on .. {0} with . ≥ 2 that satisfies. We obtain at high energies the limiting absorption principle in the framework of Besov spaces, existence and uniqueness of the generalized eigenfunctions, and an eigenfunction expansion for ..

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Time-Delay in Short Range Potential Scattering,journ times of a scattering state and of the associated free state in a ‘fuzzy’ ball of radius . in .. The potential . is assumed to be smooth and behave like |.|.(. > 1) at infinity. For earlier studies on this problem, the reader is referred to [1]–[6]. Here we content ourselves with giving the re

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On smoothness of the N-body S-matrix,the 2-cluster—2-cluster and 2-cluster—.-cluster amplitudes under a short range condition on the potential and in addition under a discreteness assumption on the 2-cluster channel energies. This gives a rather complete picture for . = 3 while a number of interesting cases remain to be treated for . >

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