Volume 81, Number 5, March 2008
Article Number 50001
Number of page(s) 5
Section General
Published online 04 February 2008
EPL, 81 (2008) 50001
DOI: 10.1209/0295-5075/81/50001

Anomalous relativistic tunneling and exotic point interactions

P. Hejcík and T. Cheon

Laboratory of Physics, Kochi University of Technology - Tosa Yamada, Kochi 782-8502, Japan

received 23 September 2007; accepted in final form 7 January 2008; published March 2008
published online 4 February 2008

We examine the one-dimensional quantum scattering of a Dirac particle off relativistic potential barriers. With proper considerations of the Dirac sea, the existence of anomalous tunneling at zero incident energy is revealed for a particular type of relativistic potential having the 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.

03.65.Nk - Quantum mechanics: Scattering theory.
03.65.Pm - Relativistic wave equations.
24.10.Jv - Relativistic models.

© EPLA 2008