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.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1966 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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/10.1007/978-3-642-53393-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-53393-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53353-2
Online ISBN: 978-3-642-53393-8
eBook Packages: Springer Book Archive