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2015 Quaternionic Dirac Scattering
S. De Leo, G. Ducati, S. Giardino
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J. Phys. Math. 6(1): 1-6 (2015). DOI: 10.4172/2090-0902.1000130


The scattering of a Dirac particle has been studied for a quaternionic potential step. In the potential region an additional diffusion solution is obtained. The quaternionic solution which generalizes the complex one presents an amplification of the reflection and transmission rates. A detailed analysis of the quaternionic spinorial velocities shed new light on the additional solution. For pure quaternionic potentials, the interesting and surprising result of total transmission is found. This suggests that the presence of pure quaternionic potentials cannot be seen by analyzing the reflection or transmission rates. It has been observed by measuring the mean value of some operator.


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S. De Leo. G. Ducati. S. Giardino. "Quaternionic Dirac Scattering." J. Phys. Math. 6 (1) 1 - 6, 2015.


Published: 2015
First available in Project Euclid: 23 July 2015

zbMATH: 1326.81225
MathSciNet: MR3363779
Digital Object Identifier: 10.4172/2090-0902.1000130

Keywords: Dirac equation , quaternions , scattering

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)


Vol.6 • No. 1 • 2015
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