Jensen Inequalities for Tunneling Probabilities in Complex Systems

Details Jensen Inequalities for Tunneling Probabilities in Complex Systems Jensen Inequalities for Tunneling Probabilities in Complex Systems

2009-04-11

arxiv.org/abs/0904.1801v3

Phys.Rev.C80:034610,2009

Physics

Nuclear Physics

Nuclear Theory

11 pages, 2 figures

Scientific paper

10.1103/PhysRevC.80.034610

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.

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