85 citations · 198 across the 4 of their papers we have counts for
4 papers
Phase shifts and resonances in the Dirac equation
Piers Kennedy, Richard L. Hall, Norman Dombey
We review the analytic results for the phase shifts delta_{l}(k) in non-relativistic scattering from a spherical well. The conditions for the existence of resonances are establishe…
Low Momentum Scattering in the Dirac Equation
Norman Dombey, Piers Kennedy
It is shown that the amplitude for reflection of a Dirac particle with arbitrarily low momentum incident on a potential of finite range is -1 and hence the transmission coefficient…
The Woods-Saxon Potential in the Dirac Equation
P. Kennedy
The two-component approach to the one-dimensional Dirac equation is applied to the Woods-Saxon potential. The scattering and bound state solutions are derived and the conditions fo…
Supercriticality and Transmission Resonances in the Dirac equation
N Dombey, P Kennedy, A Calogeracos
It is shown that a Dirac particle of mass and arbitrarily small momentum will tunnel without reflection through a potential barrier of finite range provided that the…