A strong operator topology adiabatic theorem

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.
15 pages, no figures

Keywords

Mathematical Physics, Mesoscale and Nanoscale Physics, Quantum Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/95877

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0110002
 http://arxiv.org/abs/math-ph/0110002
 Rev. Math. Phys. 14 (2002), 569-584
 doi:10.1142/S0129055X02001247

Collections

arXiv