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Perturbation theory for semigroups of operators

  • Tosio Kato
Part of the Classics in Mathematics book series (CLASSICS, volume 132)

Abstract

The subject of this chapter originates in the so-called time-dependent perturbation theory in quantum mechanics, in which the main question is the perturbation of the unitary group generated by a given Hamiltonian due to a small change in the latter. This problem is generalized in a natural way to perturbation theory for semigroups, which is no less important in applications.

Keywords

Hilbert Space Perturbation Theory Integral Operator Strong Convergence Finite Interval 
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 Berlin Heidelberg 1995

Authors and Affiliations

  • Tosio Kato
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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