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Tunneling Through a One-Dimensional Square Potential Barrier Under Fluctuations in an Observer’s Frame of Reference
American Journal of Physics and Applications
Volume 8, Issue 3, May 2020, Pages: 40-45
Received: May 11, 2020; Accepted: Jun. 2, 2020; Published: Jun. 15, 2020
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Yun-Sok Shin, Sejong Academy of Science and Arts, Sejong, Republic of Korea
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This study reports tunneling through a one-dimensional (1D) square potential barrier (SPB) under fluctuations in an observer’s frame of reference (OFR). To date, tunneling through an SPB has been studied under the assumption that the OFR remains constant throughout the tunneling measurements; therefore, the change of the tunneling probability when the OFR is assumed to fluctuate remains unanswered. In this paper, a 1D SPB is considered under fluctuations of an OFR. The average transmission probability of a particle through an SBP for two types of OFR fluctuations (periodic-square-wave and periodic-sawtooth-wave fluctuations) is formulated in time representations. Under these types of fluctuations, the average transmission probability gradually increases with a particle’s energy, which is saturated to the transmission probability in the case of the stationary OFR at a much greater energy than the amplitude of the fluctuations. The average transmission probability is much higher at the amplitude of the fluctuations in the case of periodic-square-wave fluctuations. Therefore, the average transmission probability with a particle’s energy has the potential to reveal the distribution of OFR fluctuations.
Tunneling, Potential Barrier, Observer Effect, Fluctuations of an Observer’s Frame of Reference, Fluctuating Frame of Reference
To cite this article
Yun-Sok Shin, Tunneling Through a One-Dimensional Square Potential Barrier Under Fluctuations in an Observer’s Frame of Reference, American Journal of Physics and Applications. Vol. 8, No. 3, 2020, pp. 40-45. doi: 10.11648/j.ajpa.20200803.12
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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