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Zbl 1066.81040
Kennedy, Piers; Dombey, Norman
Low momentum scattering in the Dirac equation. (English)
[J] J. Phys. A, Math. Gen. 35, No. 31, 6645-6657 (2002). ISSN 0305-4470

Summary: 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 $T$ willbe nonzero whilst for a symmetric potential $T = 1$. Therefore in some circumstances a Dirac particle of arbitrarily small momentum can tunnel without reflection through a potential barrier.

MSC 2000:: *81U05 2-body potential scattering theory
81U20 S-matrix theory, etc.

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Zentralblatt MATH Berlin [Germany]