Relativistic J-matrix method

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''.

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

Cited by in corpus (10)

• Probing the resonance of Dirac particle by the application of complex momentum representation
• Relativistic extension of the complex scaling method
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Relativistic scattering with spatially-dependent effective mass in the Dirac equation
• Scattering theory with a natural regularization: Rediscovering the J-matrix method
• J-matrix method of scattering in any L2 basis
• Scattering phase shift for relativistic exponential-type separable potentials
• The relativistic J-matrix theory of scattering: an analytic solution
• Scattering phase shift for relativistic separable potential with Laguerre-type form factors
• Deformation of the J-matrix method of scattering