Perturbation theory for semigroups of operators

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


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.


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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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