Relativistic J-matrix method

Details Relativistic J-matrix method Relativistic J-matrix method

2000-07-19

arxiv.org/abs/quant-ph/0007073v1

Physics

Quantum Physics

21 pages, RevTeX, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.62.052716

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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