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.

Relativistic tunneling through two "transparent" successive barriers / Germano, M.. - In: TURKISH JOURNAL OF PHYSICS. - ISSN 1300-0101. - 46:3(2022), pp. 113-121. [10.55730/1300-0101.2717]

Relativistic tunneling through two "transparent" successive barriers

Germano M.
2022

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.
2022
relativistic; traversal time; Tunneling
01 Pubblicazione su rivista::01a Articolo in rivista
Relativistic tunneling through two "transparent" successive barriers / Germano, M.. - In: TURKISH JOURNAL OF PHYSICS. - ISSN 1300-0101. - 46:3(2022), pp. 113-121. [10.55730/1300-0101.2717]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1662327
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