Anomalous Relativistic Tunneling and Exotic Point Interactions

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 sig...

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Bibliographic Details
Published in:arXiv.org 2007-11
Main Authors: Hejcik, Pavel, Cheon, Taksu
Format: Article
Language:English
Subjects:
Potential barriers
Relativism
Relativistic effects
Relativistic particles
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0709.3495