Progressive diagonalization and applications
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We give a partial review of what is known so far on stability of periodically driven quantum systems versus regularity of the bounded driven force. In particular we emphasize the fact that unbounded degeneracies of the unperturbed Hamiltonian are allowed. Then we give a detailed description of an extension to some unbounded driven forces. This is done by representing the Schroedinger equation in the instantaneous basis of the time dependent Hamiltonian with a method that we call progressive diagonalization.
Cite
@article{arxiv.math-ph/0405014,
title = {Progressive diagonalization and applications},
author = {P. Duclos and O. Lev and P. Stovicek and M. Vittot},
journal= {arXiv preprint arXiv:math-ph/0405014},
year = {2007}
}
Comments
16 pages, Latex2e