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Titlebook: New Developments in Mathematical Physics; Proceedings of the X Heinrich Mitter,Ludwig Pittner Conference proceedings 1981 Springer-Verlag/W

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978-3-7091-8644-2Springer-Verlag/Wien 1981
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Geometric Methods in Scattering Theoryectral and scattering theory of Hamiltonian operators in nonrelativistic quantum mechanics. For further details and references we refer to the lecture notes [7] of the Erice summer school 1980, which contain a discussion of various alternative routes, omitted here, and to [4,2,3,10,11,13,19,21].
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Inverse Spectral and Scattering Theorys. The invention of these techniques goes back to the 50’s, and is mainly due to Gel’fand and Levitan, and Marchenko, with important contributions by Jost and Kohn, Faddeev, Newton and Sabatier, Regge, Loeffel, Martin, Cornille, Gasymov and Levitan,… All the references are given at the end.
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Finiteness of Total Cross-Sectionsk for elementary particles, explicit bounds on amplitudes and cross-sections in the spherically symmetric case. We also study the coupling constant dependence of the cross-sections for potentials of a given sign by using analyticity properties with respect to this coupling constant. This paper contains several new unpublished results.
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Analyticity Properties of the S-Matrix: Historical Survey and Recent Results in S-Matrix Theory and s of the multi– particle S-matrix is presented. It includes an historical survey, which outlines the successes but also the basic difficulties encountered in the sixties in both theories, and the evolution of the subject in the seventies.
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