Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

• Authors: Jianyou Guo , Yi Yu , Shaowei Jin
• Languages of publication: EN

Abstracts

EN

We have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.

Keywords

EN

transmission resonance; Hulthén potential; Dirac equation

Discipline

• 03.65.Nk: Scattering theory
• 03.65.Pm: Relativistic wave equations
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 1
• Pages: 168-174

Dates

published

1 - 3 - 2009

online

8 - 1 - 2009

Contributors

author

Jianyou Guo

• School of physics and material science, Anhui university, Hefei, 230039, P.R. China

author

Yi Yu

• School of physics and material science, Anhui university, Hefei, 230039, P.R. China

author

Shaowei Jin

• School of physics and material science, Anhui university, Hefei, 230039, P.R. China

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Identifiers

DOI

10.2478/s11534-008-0127-9