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RelativisticJ-matrix method

2000/07/19 by Paweł Horodecki, Pawel Horodecki · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Nuclear physics research studies #quant-ph

paper · pdf · doi:10.1103/physreva.62.052716

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

arxiv created 2000/07/19 · openalex publication_date 2000/10/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 nonrelativistic case it leads to a finite algebraic eigenvalue problem. The derived expression for the tangent of phase shift is simply related to the nonrelativistic 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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