Analytic bounds on transmission probabilities
Mathematical Physics
2014-11-18 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We develop some new analytic bounds on transmission probabilities (and the related reflection probabilities and Bogoliubov coefficients) for generic one-dimensional scattering problems. To do so we rewrite the Schrodinger equation for some complicated potential whose properties we are trying to investigate in terms of some simpler potential whose properties are assumed known, plus a (possibly large) "shift" in the potential. Doing so permits us to extract considerable useful information without having to exactly solve the full scattering problem.
Cite
@article{arxiv.0901.0944,
title = {Analytic bounds on transmission probabilities},
author = {Petarpa Boonserm and Matt Visser},
journal= {arXiv preprint arXiv:0901.0944},
year = {2014}
}
Comments
19 pages