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Resonant Tunneling in Scalar Quantum Field Theory

2009/10/06 by S.-H. Henry Tye, S. -H. Henry Tye, Tye, S. -H. Henry +2
Chemistry · Materials Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #Magnetism in coordination complexes #hep-th

paper · pdf · doi:10.48550/arxiv.0910.1088

25 pages, 11 figures

arxiv created 2009/10/06 · arxiv updated 2009/12/01

Abstract

The resonant tunneling phenomenon is well understood in quantum mechanics. We argue why a similar phenomenon must be present in quantum field theory. We then use the functional Schrödinger method to show how resonant tunneling through multiple barriers takes place in quantum field theory with a single scalar field. We also show how this phenomenon in scalar quantum field theory can lead to an exponential enhancement of the single-barrier tunneling rate. Our analysis is carried out in the thin-wall approximation.

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