Low momentum scattering of the Dirac particle with an asymmetric cusp potential

Yu Jiang; Shi Hai Dong; A. Antillón; M. Lozada-Cassou

doi:10.1140/epjc/s2005-02430-7

Low momentum scattering of the Dirac particle with an asymmetric cusp potential

Yu Jiang, Shi Hai Dong, A. Antillón, M. Lozada-Cassou

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We study the exact solutions of the bound and scattering states of the one-dimensional Dirac equation with an asymmetric cusp potential and derive the condition of the supercriticality for this quantum system. We find that the scattering properties are invariant under reflection of the potential's shape, and the supercritical value for the potential amplitude V ₀ varies with the degree of the potential asymmetry.

Original language	English
Pages (from-to)	525-528
Number of pages	4
Journal	European Physical Journal C
Volume	45
Issue number	2
DOIs	https://doi.org/10.1140/epjc/s2005-02430-7
State	Published - Feb 2006
Externally published	Yes

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title = "Low momentum scattering of the Dirac particle with an asymmetric cusp potential",

abstract = "We study the exact solutions of the bound and scattering states of the one-dimensional Dirac equation with an asymmetric cusp potential and derive the condition of the supercriticality for this quantum system. We find that the scattering properties are invariant under reflection of the potential's shape, and the supercritical value for the potential amplitude V 0 varies with the degree of the potential asymmetry.",

author = "Yu Jiang and Dong, {Shi Hai} and A. Antill{\'o}n and M. Lozada-Cassou",

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AU - Dong, Shi Hai

AU - Antillón, A.

AU - Lozada-Cassou, M.

PY - 2006/2

Y1 - 2006/2

N2 - We study the exact solutions of the bound and scattering states of the one-dimensional Dirac equation with an asymmetric cusp potential and derive the condition of the supercriticality for this quantum system. We find that the scattering properties are invariant under reflection of the potential's shape, and the supercritical value for the potential amplitude V 0 varies with the degree of the potential asymmetry.

AB - We study the exact solutions of the bound and scattering states of the one-dimensional Dirac equation with an asymmetric cusp potential and derive the condition of the supercriticality for this quantum system. We find that the scattering properties are invariant under reflection of the potential's shape, and the supercritical value for the potential amplitude V 0 varies with the degree of the potential asymmetry.

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U2 - 10.1140/epjc/s2005-02430-7

DO - 10.1140/epjc/s2005-02430-7

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SN - 1434-6044

VL - 45

SP - 525

EP - 528

JO - European Physical Journal C

JF - European Physical Journal C

IS - 2

ER -

Low momentum scattering of the Dirac particle with an asymmetric cusp potential

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