Perturbation theory for semigroups of operators
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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.
KeywordsHilbert Space Perturbation Theory Integral Operator Strong Convergence Finite Interval
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