Anomalous Relativistic Tunneling and Exotic Point Interactions

TL;DR

This paper investigates relativistic quantum tunneling phenomena for Dirac particles, revealing anomalous zero-energy tunneling and exotic potential limits due to specific scalar and vector potential configurations.

Contribution

It uncovers anomalous tunneling at zero incident energy and introduces an exotic short-range limit for certain relativistic potentials.

Findings

Anomalous tunneling occurs at zero incident energy.

Exotic short-range potential limits are identified.

Relativistic potential configurations influence tunneling behavior.

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.