The method of multiple internal reflections in a description of tunneling evolution of nonrelativistic particles and photons

A non-stationary method for tunneling description of non-relativistic particles and photons through a barrier on the basis of consideration of the multiple internal reflections of vawe packets in relation of barrier boundaries is presented. The method is described in details and proved in the case o...

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Published in:arXiv.org 2004-07
Main Authors: Maydanyuk, Sergei P, Olkhovsky, Vladislav S, Zaichenko, Alexander K
Format: Article
Language:English
Subjects:
Atoms & subatomic particles
Packet transmission
Photons
Reflected waves
Relativistic particles
Wave packets
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Olkhovsky, Vladislav S
Zaichenko, Alexander K
description A non-stationary method for tunneling description of non-relativistic particles and photons through a barrier on the basis of consideration of the multiple internal reflections of vawe packets in relation of barrier boundaries is presented. The method is described in details and proved in the case of the one-dimentional tunneling of the particle through the rectangular barrier. For problems of the tunneling of the particle through the spherically symmetric barrier and of the photon through the one-dimensional barrier the amplitudes of transmitted and reflected wave packets in relation to the barrier, times of the tunneling and the reflection are found using of the method. Hartman's and Fletcher's effect is analysed.
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subjects Atoms & subatomic particles
Packet transmission
Photons
Reflected waves
Relativistic particles
Wave packets
title The method of multiple internal reflections in a description of tunneling evolution of nonrelativistic particles and photons
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