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arXiv · 0904.1801

Jensen Inequalities for Tunneling Probabilities in Complex Systems

D. M. Andrade·M. S. Hussein
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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.

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D. M. Andrade, M. S. Hussein. 2009-07-11. Jensen Inequalities for Tunneling Probabilities in Complex Systems. https://doi.org/10.1103/physrevc.80.034610

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