Publication: Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
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Undergraduate course
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Elsevier B.V.
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Article
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Abstract
The scattering of a fermion in the background of a sign potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling under the Sturm-Liouville perspective. When the vector coupling and the scalar coupling have different magnitudes, an isolated solution shows that the fermion under a strong potential can be trapped in a highly localized region without manifestation of Klein's paradox. It is also shown that the lonely bound-state solution disappears asymptotically as one approaches the conditions for the realization of spin and pseudospin symmetries. (C) 2013 Elsevier Inc. All rights reserved.
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Keywords
Sign potential, Spin symmetry, Isolated solution, Effective mass
Language
English
Citation
Annals Of Physics. San Diego: Academic Press Inc Elsevier Science, v. 340, n. 1, p. 1-12, 2014.
