A Primer on Resonances in Quantum Mechanics
Quantum Physics
2009-02-26 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
After a pedagogical introduction to the concept of resonance in classical and quantum mechanics, some interesting applications are discussed. The subject includes resonances occurring as one of the effects of radiative reaction, the resonances involved in the refraction of electromagnetic waves by a medium with a complex refractive index, and quantum decaying systems described in terms of resonant states of the energy. Some useful mathematical approaches like the Fourier transform, the complex scaling method and the Darboux transformation are also reviewed.
Cite
@article{arxiv.0902.4061,
title = {A Primer on Resonances in Quantum Mechanics},
author = {O. Rosas-Ortiz and N. Fernandez-Garcia and Sara Cruz y Cruz},
journal= {arXiv preprint arXiv:0902.4061},
year = {2009}
}
Comments
28 pages, 9 figures, lectures presented at the Advanced Summer School in Physics 2008, Cinvestav, Mexico