Title

The Dirac-Coulomb problem: a mathematical revisit

Authors

Authors

A. D. Alhaidari; H. Bahlouli;M. E. H. Ismail

Comments

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Abbreviated Journal Title

J. Phys. A-Math. Theor.

Keywords

L-2 SERIES SOLUTION; ENERGIES; Physics, Multidisciplinary; Physics, Mathematical

Abstract

We obtain a symmetric tridiagonal matrix representation of the Dirac-Coulomb operator in a suitable complete square integrable basis. Orthogonal polynomial techniques along with the Darboux method are used to obtain the bound states energy spectrum, the relativistic scattering amplitudes and phase shifts from the asymptotic behavior of the polynomial solutions associated with the resulting three-term recursion relation.

Journal Title

Journal of Physics a-Mathematical and Theoretical

Volume

45

Issue/Number

36

Publication Date

1-1-2012

Document Type

Article

DOI Link

http://dx.doi.org/10.1088/1751-8113/45/36/365204

Language

English

First Page

9

WOS Identifier

WOS:000308800500006

ISSN

1751-8113

Recommended Citation

"The Dirac-Coulomb problem: a mathematical revisit" (2012). Faculty Bibliography 2010s. 2213.
https://stars.library.ucf.edu/facultybib2010/2213