The relativistic J-matrix theory of scattering: an analytic solution

Abstract

The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The non-relativistic limit is obtained and shown to be identical to the familiar non-relativistic J-matrix. Scattering examples are given to verify the non-relativistic limit and calculate the relativistic effects in the phase shift.

This is an expanded vesrion of the article which is expected to appear in J. Math. Phys. in March 2002 (JMP ref. no. 1-0234). Moreover, illustrative scattering examples were added. Replaced with a more portable PDF version

References in corpus (2)

• Relativistic J-matrix method
• J-matrix method of scattering in any L2 basis

Cited by in corpus (5)

• Relativistic extension of the complex scaling method
• Relativistic scattering with spatially-dependent effective mass in the Dirac equation
• Scattering theory with a natural regularization: Rediscovering the J-matrix method
• Deformation of the J-matrix method of scattering
• Scattering phase shift for relativistic separable potential with Laguerre-type form factors