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Probabilities for Quantum Tunneling through a Barrier with Linear Passive Dissipation

A. WidomPhysics Department, Northeastern University, Boston, Massachusetts 02115T. D. ClarkPhysics Department, Northeastern University, Boston, Massachusetts 02115
1982en
ABI

Abstract

The transmission coefficient for passage through a barrier with a parabolic maximum is computed rigorously when linear passive dissipation is present. The exact result for energies above and below the barrier height can be expressed in terms of the Coleman renormalized one-bounce time. The quasiclassical (WKB) approximation is recovered for energies significantly below the barrier height where "friction" enhances the tunneling probability.

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