Jensen inequalities for tunneling probabilities in complex systems

Debora Andrade

Universidade de São Paulo, Instituto de Física, Departamento de Física Matemática,
São Paulo, Brazil

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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