A strong operator topology adiabatic theorem
数学物理
2007-05-23 v2 介观与纳米尺度物理
math.MP
量子物理
摘要
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.
引用
@article{arxiv.math-ph/0110002,
title = {A strong operator topology adiabatic theorem},
author = {Alexander Elgart and Jeffrey H. Schenker},
journal= {arXiv preprint arXiv:math-ph/0110002},
year = {2007}
}
备注
15 pages, no figures