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A Relativistic equation for a slowly varying potential

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Roy, C.L. and Méndez Martín, Bianchi and Domínguez-Adame Acosta, Francisco (1994) A Relativistic equation for a slowly varying potential. Journal of Physics A-Mathematical and General, 27 (10). pp. 3539-3546. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/27/10/028


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Abstract

A relativistic equation is derived for a slowly varying potential by suitably approximating the one-dimensional Dirac equation. This equation is shown to be akin to the Schrodinger equation with an effective potential and effective eigenvalues. An iterative procedure for solving this equation is indicated. As an application, the relativistic treatment of the Mathieu potential on the basis of this equation is considered and results are compared with those obtained by solving the exact one-dimensional Dirac equation. These results are likely to take adequate account of the relativistic impacts on electrons near Fermi levels in metals.


Item Type:Article
Additional Information:

© 1994 IOP Publishing Ltd

Uncontrolled Keywords:Dimensional Band Structures, Electronic States
Subjects:Sciences > Physics > Materials
ID Code:24906
Deposited On:02 Apr 2014 15:31
Last Modified:25 May 2016 15:01

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