Abstract
In this chapter we deal with perturbations whose influence is concentrated outside of the domain of essential self-adjointness of the free Hamiltonian. We show that the extended rigged spaces method is applicable to such perturbations. A new step is the introduction of the scale of Hilbert spaces and involving in the consideration the unperturbed operator in some power. This allows one to treat perturbations with any order of singularity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Koshmanenko, V., Dudkin, M. (2016). Super-singular Perturbations. In: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators. Operator Theory: Advances and Applications, vol 253. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29535-0_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-29535-0_8
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29533-6
Online ISBN: 978-3-319-29535-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)