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Phys. Rev. A 67, 052707 (2003) [4 pages]

Transmission resonances and supercritical states in a one-dimensional cusp potential

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Víctor M. Villalba*
Centro de Física IVIC Apdo 21827, Caracas 1020A, Venezuela

Walter Greiner
Institut für Theoretische Physik, Universität Frankfurt, D-60054 Frankfurt am Main, Germany

Received 27 December 2002; published 27 May 2003

We solve the two-component Dirac equation in the presence of a spatially one-dimensional symmetric cusp potential. We compute the scattering and bound state solutions and we derive the conditions for transmission resonances as well as for supercriticality.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.052707
DOI:
10.1103/PhysRevA.67.052707
PACS:
11.80.-m, 03.65.Pm, 03.65.Ge

*Electronic address: villalba@ivic.ve