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On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions


Institute for Nuclear Research of National Academy of Sciences Ukraine, prosp. Nauki 47, Kiev, 30650, Ukraine

An analysis is given of multiple internal reflections undergone by particles and phonons undergoing one-, two-, and three-dimensional tunneling. Results obtained by using the time dependent Schrödinger equation for nonrelativistic particles and those obtained with the time dependent Helmholtz equation for electromagnetic waves are presented. The paper closes with conclusions and considerations for future research.

Text can be downloaded in Russian. English translation is available here.
PACS: 03.65.Xp, 42.25.−p, 42.50.Xa (all)
DOI: 10.3367/UFNe.0184.201411h.1255
URL: https://ufn.ru/en/articles/2014/11/g/
Citation: Olkhovsky V S "On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions" Phys. Usp. 57 1136–1145 (2014)
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Received: 10th, March 2014, revised: 15th, May 2014, 20th, May 2014

Оригинал: Ольховский В С «O многократных внутренних отражениях туннелирующих частиц и фотонов в одномерном, двухмерном и трёхмерном туннелировании» УФН 184 1255–1264 (2014); DOI: 10.3367/UFNr.0184.201411h.1255

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