The Dirac-Coulomb problem: a mathematical revisit

    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

    Language

    English

    First Page

    9

    WOS Identifier

    WOS:000308800500006

    ISSN

    1751-8113

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