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Journals / Turkish Journal of Physics / 2022 / Cilt: 46 - Sayı: 3

Relativistic tunneling through two “transparent” successive barrier

Massimo GERMANO
Pages
113–121
Publication Date
2022-11-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 ligh

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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 ligh
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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 ligh

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Cite This Article

GERMANO, M. (2022). Relativistic tunneling through two “transparent” successive barrier. Turkish Journal of Physics, Cilt: 46 - Sayı: 3, 113–121. https://ajindex.com/articles/613893

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