An Adiabatic Theorem for Resonances
Mathematical Physics
2010-02-24 v1 math.MP
Quantum Physics
Abstract
We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approximation to a bound state is known. To demonstrate the theorem's usefulness in a concrete situation, we apply it to shape resonances.
Keywords
Cite
@article{arxiv.1002.1741,
title = {An Adiabatic Theorem for Resonances},
author = {Alexander Elgart and George Hagedorn},
journal= {arXiv preprint arXiv:1002.1741},
year = {2010}
}
Comments
31 pages, 2 figures