Linked Markovian quantum tunnels: An approximation technique for solving the bin packing problem

Ligeiro, Rui

doi:10.1016/j.jocs.2017.03.004

Cited by 4 publications

(1 citation statement)

References 9 publications

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“…Since the quantum tunnelling effect is a Markov chain, meaning the process that is happening only depends on the previous process [11] and each tunnelling event could be represented by a link between neighboring Markov Chain [12], the electron tunnelling through two potential barriers in one dimension could be described as:…”

Section: Figurementioning

confidence: 99%

Analysis of One-dimensional Double-potential Barrier Structures Resonant Tunnelling Based on Transmission Matrices

Zhang

2024

HSET

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The comprehension of the tunnel effect, the passage of matter waves and particles across a high potential barrier, was the most astounding of all discoveries in quantum mechanics. Research on tunnelling in semiconductors and superconductors, as well as the development of scanning tunnelling microscopy, garnered five Nobel prizes in physics. In this study, the resonant tunnelling effect of electron tunnelling through a one-dimensional double-potential barrier was found and verified by solving the time-independent Schrödinger equation and calculating the transmittance rate of the electron tunnelling through the two potential barriers by using the transmission matrix technique performed by MATLAB. According to the analysis, the transmittance rate was one under certain specific conditions (under some specific incident energy values or some specific distance between two potential barriers), which was called as resonant tunnelling. However, in this study, square potential wells were analyzed, which can be considered merely as ideal models in real life, and therefore all results are idealized. For further investigations, researchers can use more realistic parameters to set up potential wells and analyze real-life problems.

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Section: Figurementioning

confidence: 99%