On Asymptotic Perturbation Theory for Quantum Mechanics : Almost Invariant Subspaces and Gauge Invariant Magnetic Perturbation Theory

@inproceedings{International2000OnAP,
title={On Asymptotic Perturbation Theory for Quantum Mechanics : Almost Invariant Subspaces and Gauge Invariant Magnetic Perturbation Theory},
author={Erwin Schr{\"o}dinger International and G. Nenciu},
year={2000}
}

Erwin Schrödinger International, G. Nenciu

Published 2000

Singular perturbation theory for Quantum Mechanics is considered in a framework generalising the spectral concentration theory. Under very general conditions, asymptotic estimations on the RayleighSchrödinger expansions of the perturbed spectral projections are obtained. As a consequence almost invariant subspaces of exponential order are constructed. The results covers practically all singular perturbations considered in nonrelativistic quantum mechanics. In the magnetic field case, under the… CONTINUE READING