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The Effect of Fluctuations in the Observer’s Frame of Reference on Tunneling through a 1-Dimensional Double Square Potential Barrier

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  • Yun-Sok Shin

Abstract

In this paper, particle tunneling through a 1-dimensional double square potential barrier is considered under fluctuations of an observer’s frame of reference (OFR). The concept of duration density—the proportion of the duration of a measurement that a particle has a particular energy—is adopted to formulate the average transmission probability of a particle for two types of fluctuations in the OFR. For single-period square-wave fluctuations, the average transmission probability is found to oscillate with a period of π or 2π as a function of the energy of the particle; the period of the oscillations rapidly switches from one value to another as a result of extremely small changes in the wavenumber configuration. For single-period sawtooth-wave fluctuations, the period of the oscillations in the transmission probability gradually increases from π to 2π as the wavenumber configuration changes. It is concluded, therefore that the average transmission probability has the potential to provide information about the nature of the fluctuations in an OFR.

Suggested Citation

  • Yun-Sok Shin, 2024. "The Effect of Fluctuations in the Observer’s Frame of Reference on Tunneling through a 1-Dimensional Double Square Potential Barrier," European Journal of Applied Physics, European Open Science, vol. 6(3), pages 26-32, May.
    • Handle: RePEc:epw:physic:v:6:y:2024:i:3:id:11331
    DOI: 10.24018/ejphysics.2024.6.3.331
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    References listed on IDEAS

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    1. Yun-Sok Shin, 2022. "The Effect of Fluctuations in the Observer’s Frame of Reference on Blackbody Radiation," European Journal of Applied Physics, European Open Science, vol. 4(3), pages 43-48, May.
    2. Elizabeth Gibney, 2019. "Quantum gold rush: the private funding pouring into quantum start-ups," Nature, Nature, vol. 574(7776), pages 22-24, October.
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