Anomalous relativistic tunneling and exotic point interactionsP. 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