Phys. Rev. Lett. 85, 1787–1790 (2000)

Supercriticality and Transmission Resonances in the Dirac Equation

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Norman Dombey^1,*, Piers Kennedy^1,†, and A. Calogeracos^2,‡
¹Centre for Theoretical Physics, University of Sussex, Brighton BN1 9QJ, United Kingdom
²NCA Research Consultants, P.O. Box 61147, Maroussi 151 22, Greece

Received 30 May 2000; published in the issue dated 28 August 2000

It is shown that a Dirac particle of mass m and arbitrarily small momentum will tunnel without reflection through a potential barrier V = U_c(x) of finite range provided that the potential well V = -U_c(x) supports a bound state of energy E = -m. This is called a supercritical potential well.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.85.1787

DOI:

10.1103/PhysRevLett.85.1787

PACS:

03.65.Pm, 03.65.Ge

^*Email address: normand@sussex.ac.uk

^†Email address: kapv4@pcss.maps.susx.ac.uk

^‡Email address: acal@hol.gr

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Phys. Rev. Lett. 85, 1787–1790 (2000)

Supercriticality and Transmission Resonances in the Dirac Equation