2008
DOI: 10.1140/epjc/s10052-008-0571-0
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Delay time computation for relativistic tunneling particles

Abstract: We study the tunneling zone solutions of a one-dimensional electrostatic potential for the relativistic (Dirac to Klein-Gordon) wave equation when the incoming wave packet exhibits the possibility of being almost totally transmitted through the barrier. The transmission probabilities, the phase times and the dwell times for the proposed relativistic dynamics are obtained and the conditions for the occurrence of accelerated tunneling transmission are all quantified. We show that, in some limiting cases, the ana… Show more

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Cited by 6 publications
(4 citation statements)
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“…Our approach is three dimensional but the assumed stratified direction (x axis) of the potential together with the incoming three momentum determines the scattering plane within which lie both the reflected and transmitted momenta. We shall call this the x-y plane and hence, without lose of generality, we consider planar scattering, both diffusion and tunnelling [2][3][4][5][6][7][8][9][10][11][12][13][14]. Our spinors are Dirac spinors.…”
Section: Introductionmentioning
confidence: 99%
“…Our approach is three dimensional but the assumed stratified direction (x axis) of the potential together with the incoming three momentum determines the scattering plane within which lie both the reflected and transmitted momenta. We shall call this the x-y plane and hence, without lose of generality, we consider planar scattering, both diffusion and tunnelling [2][3][4][5][6][7][8][9][10][11][12][13][14]. Our spinors are Dirac spinors.…”
Section: Introductionmentioning
confidence: 99%
“…In section VI we compute the tunneling transmission probabilities and the respective delay-times for wave packets when a relativistic dynamic is taken into account [17,18]. The transmission probabilities, the phase times and the dwell times for the relativistic dynamics are all obtained and the conditions for the occurrence of accelerated and, eventually, superluminal tunneling transmission probabilities are specified.…”
Section: Introductionmentioning
confidence: 99%
“…Some preliminary issues have already investigated the relativistic linear transmission [14][15][16][17] and the phenomena of planar diffusion of Dirac particles [18][19][20] through and above potential barriers and steps. In particular, the effects of relative phases between incoming and reflected or transmitted amplitude components of diffused waves have been accurately quantified [14,21,22].…”
Section: Introductionmentioning
confidence: 99%