Adiabatic theorem for finite dimensional quantum mechanical systems
Mathematical Physics
2011-09-05 v3 math.MP
Quantum Physics
Abstract
A new simple proof of the adiabatic theorem is given in the finite dimensional case for nondegenerate as well as degenerate states. The explicitly integrable two level system is considered as an example. It is demonstrated that the error estimate given by the adiabatic theorem can not be improved.
Cite
@article{arxiv.0909.0370,
title = {Adiabatic theorem for finite dimensional quantum mechanical systems},
author = {M. O. Katanaev},
journal= {arXiv preprint arXiv:0909.0370},
year = {2011}
}
Comments
12 pages, corrected