Quantum Lie systems and integrability conditions
Mathematical Physics
2010-02-01 v1 math.MP
Abstract
The theory of Lie systems has recently been applied to Quantum Mechanics and additionally some integrability conditions for Lie systems of differential equations have also recently been analysed from a geometric perspective. In this paper we use both developments to obtain a geometric theory of integrability in Quantum Mechanics and we use it to provide a series of non-trivial integrable quantum mechanical models and to recover some known results from our unifying point of view.
Cite
@article{arxiv.0908.2235,
title = {Quantum Lie systems and integrability conditions},
author = {J. F. Cariñena and J. de Lucas},
journal= {arXiv preprint arXiv:0908.2235},
year = {2010}
}