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Relativistic J-matrix method

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arxiv quant-ph/0007073 v1 pith:WNY2JZ7W submitted 2000-07-19 quant-ph

Relativistic J-matrix method

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keywords casej-matrixmethodnon-relativisticproblemrelativisticalgebraicbalance
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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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