Title

The Dirac-Coulomb Problem: A Mathematical Revisit

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. © 2012 IOP Publishing Ltd.

Publication Date

9-14-2012

Publication Title

Journal of Physics A: Mathematical and Theoretical

Volume

45

Issue

36

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

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

Socpus ID

84865485413 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84865485413

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