https://doi.org/10.1140/epjc/s2005-02430-7
Theoretical Physics
Low momentum scattering of the Dirac particlewith an asymmetric cusp potential
1
Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-334, 09340, D. F., México
2
Programa de Ingeniería Molecular, Instituto Mexicano del Petróleo, Lázaro Cárdenas 152, 07730, México, D. F., México
3
Centro de Ciencias Físicas, UNAM, Apartado Postal 48-3, 62251, Cuernavaca, Morelos, México
* e-mail: jiang@xanum.uam.mx
Received:
2
August
2004
Revised:
9
September
2005
Published online:
25
November
2005
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.
© Springer-Verlag, 2006
