Anomalous Relativistic Tunneling and Exotic Point Interactions
arXiv:0709.3495 · doi:10.1209/0295-5075/81/50001
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.
5 pages TeX in EPL format, with 4 PDF figures. Revision with discussion on unitarity for all energies