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Relativistic J-matrix method

Pawel Horodecki
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Abstract

The relativistic version of the J-matrix method for a scattering problem on the potential vanishing faster than the Coulomb one is formulated. As in the non-relativistic case it leads to a finite algebraic eigenvalue problem. The derived expression for the tangent of phase shift is simply related to the non-relativistic case formula and gives the latter as a limit case. It is due to the fact that the used basis set satisfies the ``kinetic balance condition''.

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Pawel Horodecki. 2000-07-19. Relativistic J-matrix method. https://doi.org/10.1103/physreva.62.052716

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