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On the quantum tunneling of one dimensional coulomb singular potential barrier

2020/08/29 by Atom Zh. Muradyan, Muradyan, Atom, G. A. Muradyan +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #J.2 #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #S81-10

paper · pdf · doi:10.48550/arxiv.2008.12957

openalex publication_date 2020/08/29 · openalex created_date 2020/09/08 · openalex updated_date 2026/07/28

Abstract

How quantum tunneling will behave when the singularity is preserved as much as possible is the main question of this paper. We get that the Coulomb sibgularity is reflected as infinitly accelerated oscillations in the transmission coefficient between zero and one when the incident particles energy approaches the zero boundary. At relatively high energies, the tunneling acqures the caracter inherent in regular potentials, and becomes completly transparent in the asymptote.

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