Low momentum scattering in the Dirac equation

  title={Low momentum scattering in the Dirac equation},
  author={Norman Dombey and Piers Kennedy},
  journal={Journal of Physics A},
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 T = 0 in general. If, however, the potential supports a half-bound state at momentum k = 0 this result does not hold. In the case of an asymmetric potential the transmission coefficient T will be nonzero whilst for a symmetric potential T = 1. Therefore in some circumstances a Dirac particle of arbitrarily small… 
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