Communications in Mathematical Physics

, Volume 126, Issue 3, pp 559–573 | Cite as

Quantum mechanical resonance and limiting absorption: The many body problem

  • Andreas Orth
Article

Abstract

We introduce a notion of quantum mechanical resonance that does not rely on analytic continuation of resolvent or scattering matrix and relate it to slow temporal decay of certain distinguished resonant states. We proceed to prove existence of resonances for the generalized many body Schrödinger operator for a rather large class of potentials containing Coulomb and Yukawa, but also nonsymmetric and nonanalytic potentials with Coulomblike singularities at the origin and certain differentiability and decay properties.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Large Class 

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Andreas Orth
    • 1
  1. 1.Zentralabteilung für Informatik und Kommunikation der Hoechst A.G.FrankfurtFederal Republic of Germany

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