Low Momentum Scattering in the Dirac Equation

Abstract

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.

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

References in corpus (1)

• The Woods-Saxon Potential in the Dirac Equation

Cited by in corpus (16)

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• The Strong Levinson Theorem for the Dirac Equation
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• Resonant states in an attractive one dimensional cusp potential
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• Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
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• Thermodynamic Properties of a Nucleon under the Generalized Symmetric Woods-Saxon Potential in Flourine 17 Isotope
• Perfect transmission of a Dirac particle in one-dimension double square barrier
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Full transmission within a wide energy range and super-criticality in relativistic barrier scattering
• Scattering of Dirac particles from non-local separable potentials: the eigenchannel approach