Jensen Inequalities for Tunneling Probabilities in Complex Systems
Nuclear Theory
2009-11-06 v3 Soft Condensed Matter
Quantum Physics
Abstract
The Jensen theorem is used to derive inequalities for semi-classical tunneling probabilities for systems involving several degrees of freedom. These Jensen inequalities are used to discuss several aspects of sub-barrier heavy-ion fusion reactions. The inequality hinges on general convexity properties of the tunneling coefficient calculated with the classical action in the classically forbidden region.
Keywords
Cite
@article{arxiv.0904.1801,
title = {Jensen Inequalities for Tunneling Probabilities in Complex Systems},
author = {D. M. Andrade and M. S. Hussein},
journal= {arXiv preprint arXiv:0904.1801},
year = {2009}
}
Comments
11 pages, 2 figures