Relativistic tunneling through two "transparent" successive barriers

Authors

MASSIMO GERMANO

DOI

10.55730/1300-0101.2717

Abstract

In the case of tunneling of relativistic particles, differently from the nonrelativistic case, a limit of "transparent" barrier can also lead to an apparent "superluminal" behavior when considering the phase time. In this limit, the restricting condition of "opaque" barrier of the nonrelativistic case is avoided, nevertheless, the very thin width of a single barrier to obtain this ?transparent? limit can result in a problem itself, for probing the effect. A combination of two successive transparent barriers can show an apparent "superluminal" behavior along a macroscopic arbitrary distance "L". Two solutions for energy E above and below the potential square barrier V are found, for both solutions there the apparent superluminal behavior is possible above a threshold of free travelling group velocity (energy) and dependent on the ratio barriers length free path as function of the ratio group velocity - speed of light.

Keywords

Tunneling, relativistic, traversal time

First Page

113

Last Page

121

Recommended Citation

GERMANO, MASSIMO (2022) "Relativistic tunneling through two "transparent" successive barriers," Turkish Journal of Physics: Vol. 46: No. 3, Article 1. https://doi.org/10.55730/1300-0101.2717
Available at: https://journals.tubitak.gov.tr/physics/vol46/iss3/1