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Communications in Mathematical Physics

, Volume 125, Issue 1, pp 113–125 | Cite as

Trace class perturbations and the absence of absolutely continuous spectra

  • Barry Simon
  • Thomas Spencer
Article

Abstract

We show that various Hamiltonians and Jacobi matrices have no absolutely continuous spectrum by showing that under a trace class perturbation they become a direct sum of finite matrices.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Barry Simon
    • 1
  • Thomas Spencer
    • 2
  1. 1.Division of Physics, Mathematics, and AstronomyCalifornia Institute of Technology, 253-37PasadenaUSA
  2. 2.Institute for Advanced StudyPrincetonUSA

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