Low Momentum Scattering in the Dirac Equation

Details Low Momentum Scattering in the Dirac Equation Low Momentum Scattering in the Dirac Equation

2001-12-18

arxiv.org/abs/hep-th/0112156v2

J.Phys.A35:6645-6658,2002

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; revised to include additional references; to be published in J Phys A

Scientific paper

10.1088/0305-4470/35/31/309

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 k=0 this result does not hold. In the case of an asymmetric potential the transmission coefficient T will be non-zero whilst for a symmetric potential T=1.

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