English

Anomalous Relativistic Tunneling and Exotic Point Interactions

Quantum Physics 2009-08-03 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We examine one-dimensional quantum scattering of a Dirac particle off relativistic potential barriers. With proper considerations of Dirac sea, existence of anomalous tunneling at zero incident-energy is revealed for a particular type of relativistic potential having same magnitudes and opposite signs for scalar and vector components. It is also shown that this leads to an exotic short range limit of the potentials.

Keywords

Cite

@article{arxiv.0709.3495,
  title  = {Anomalous Relativistic Tunneling and Exotic Point Interactions},
  author = {Pavel Hejcik and Taksu Cheon},
  journal= {arXiv preprint arXiv:0709.3495},
  year   = {2009}
}

Comments

5 pages TeX in EPL format, with 4 PDF figures. Revision with discussion on unitarity for all energies

R2 v1 2026-06-21T09:20:18.465Z