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Underbarrier interference and Euclidean resonance

2008/06/10 by B. I. Ivlev, Ivlev, B.
Physics and Astronomy · #FOS: Physical sciences #Magnetic properties of thin films #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0806.1554

openalex publication_date 2008/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending on a form of the inhomogeneity the tunneling scenario can dramatically differ from the conventional scheme of an exponential decay of a probability density inside the barrier. This happens due to interference of various underbarrier paths, which are collected at some points giving rise to a trans-barrier state of a large amplitude. As a result, the tunneling probability through an almost classical barrier can be not exponentially small. This is a phenomenon of Euclidean resonance studied earlier for tunneling across nonstationary barriers.

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