A geometric approach to time evolution operators of Lie quantum systems
Mathematical Physics
2009-04-21 v1 High Energy Physics - Theory
math.MP
Abstract
Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equations of Lie type and we show how these methods explain certain ad hoc methods used in previous papers in order to obtain exact solutions. Finally, several instances of time-dependent quadratic Hamiltonian are solved.
Keywords
Cite
@article{arxiv.0811.4386,
title = {A geometric approach to time evolution operators of Lie quantum systems},
author = {José F. Cariñena and Javier de Lucas and Arturo Ramos},
journal= {arXiv preprint arXiv:0811.4386},
year = {2009}
}
Comments
Accepted for publication in the International Journal of Theoretical Physics