Jensen Inequalities for Tunneling Probabilities in Complex Systems
arXiv:0904.1801 · doi:10.1103/PhysRevC.80.034610
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.
11 pages, 2 figures