Schrödinger Operators, Aarhus 1985: Lectures given in Aarhus, October 2–4, 1985

S. Albeverio, F. Gesztesy, R. Høegh-Krohn, H. Holden (auth.), Erik Balslev (eds.)3540168265, 9783540168263

The present volume is a collection of papers based on lectures delivered at a Symposium on Schrfidinger operators held at the Institute of Mathematics, Aarhus University, October 2nd – 4th 1985. The speakers presented recent results on a fairly wide range of problems.

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Table of contents :
The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions….Pages 1-38
Wave operators for dilation-analytic three-body hamiltonians….Pages 39-60
Introduction to asymptotic observables for multiparticle quantum scattering….Pages 61-92
Scattering theory for one-dimensional systems with nontrivial spatial asymptotics….Pages 93-122
Classical limit and canonical perturbation theory….Pages 123-135
Trace estimates for exterior boundary problems associated with the Schrödinger operator….Pages 136-150
Commutator methods and asymptotic completeness for one – dimensional Stark effect Hamiltonians….Pages 151-166
Lorentz invariant quantum theory….Pages 167-178
A characterization of dilation-analytic operators….Pages 179-189
Asymptotic and approximate formulas in the inverse scattering problem for the Schrödinger operator….Pages 190-200
α-decay and the exponential law….Pages 201-222