English

Underbarrier interference and Euclidean resonance

Quantum Physics 2008-06-11 v1

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.

Keywords

Cite

@article{arxiv.0806.1554,
  title  = {Underbarrier interference and Euclidean resonance},
  author = {B. Ivlev},
  journal= {arXiv preprint arXiv:0806.1554},
  year   = {2008}
}
R2 v1 2026-06-21T10:48:57.066Z