2007/10/12 by Jian You Guo, Shao Wei Jin, Guo, Jian You +4
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.0710.2576
7 pages, 6 figures
openalex publication_date 2007/10/12 · arxiv created 2007/10/13 · arxiv updated 2012/11/30 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
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 calculated the reflection and transmission coefficients by the matching conditions on the wavefunctions, and investigated the condition for the existence of transmission resonances. Furthermore, we have demonstrated how the transmission-resonance condition depends on the shape of the potential.