Relativistic J-matrix method
Quantum Physics
2009-11-06 v1
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''.
Cite
@article{arxiv.quant-ph/0007073,
title = {Relativistic J-matrix method},
author = {Pawel Horodecki},
journal= {arXiv preprint arXiv:quant-ph/0007073},
year = {2009}
}
Comments
21 pages, RevTeX, accepted for publication in Phys. Rev. A