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Perturbation theory for semigroups of operators

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Perturbation theory for linear operators

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,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.

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© 1966 Springer Science+Business Media New York

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Kato, T. (1966). Perturbation theory for semigroups of operators. In: Perturbation theory for linear operators. Die Grundlehren der mathematischen Wissenschaften, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12678-3_9

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  • DOI: https://doi.org/10.1007/978-3-662-12678-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-12680-6

  • Online ISBN: 978-3-662-12678-3

  • eBook Packages: Springer Book Archive

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