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

Yun-Sok Shin
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Yun-Sok Shin: Seoul Science High School, Republic of Korea

European Journal of Applied Physics, 2024, vol. 6, issue 3, 26-32

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.

Keywords: Double square potential barrier; fluctuations of an observer’s frame of reference; observer effect; tunneling (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:6:y:2024:i:3:id:11331

DOI: 10.24018/ejphysics.2024.6.3.331

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