The Dirac-Coulomb problem: a mathematical revisit
Abbreviated Journal Title
J. Phys. A-Math. Theor.
L-2 SERIES SOLUTION; ENERGIES; Physics, Multidisciplinary; Physics, Mathematical
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 of Physics a-Mathematical and Theoretical
"The Dirac-Coulomb problem: a mathematical revisit" (2012). Faculty Bibliography 2010s. 2213.