Perturbation theory for semigroups of operators

Part of the Classics in Mathematics book series (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.


Hilbert Space Perturbation Theory Integral Operator Strong Convergence Finite Interval 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  1. 1.University of CaliforniaBerkeleyUSA

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