Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Theoretical Physics

Scattering and Transmission Resonances in One-Dimensional Hulthén Potential Barrier

Min‐Cang Zhang

Published Jan 22, 2009• 1 citation
Publisher
DOI
10.1007/s10773-009-9942-z

Related papers

Scattering and Bound States in One-Dimensional Potential

Chandan Kumar

Resonance•Jul 1, 2022•1 citation

Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthén potential barrier

Min‐Cang Zhang, 陕西师范大学物理学与信息技术学院,西安 710062

The Klein-Gordon equation in the presence of a spatially one-dimensional Hulthén potential barrier is solved and the scattering state solutions are obtained in terms of the hypergeometric functions. Both the reflection coefficient and transmission coefficient are calculated from the boundary condition of Klein-Gordon equation and the conditions for transmission resonance are then derived.The result shows that when the reflection coefficient is zero the transmission resonance takes place.

Acta Physica Sinica•Jan 1, 2009•0 citations

Scattering of a one-dimensional particle by a potential barrier

Lyudvig Dmitrievich Faddeev, O. Yakubovskiĭ

Student mathematical library•Mar 9, 2009•0 citations

Scattering of vector bosons by an asymmetric Hulthen potential

Kenan Söǧüt, Ali Havare

Exact solutions for the bound and scattering states of the spatially one-dimensional Duffin–Kemmer–Petiau equation for an asymmetric Hulthen potential are obtained in terms of the hypergeometric functions. These solutions are used to derive conditions for the existence of the transmission resonances. From this investigation, we show how the transmission coefficient depends on the energy of the particle and the strength of the potential barrier.

Journal of Physics A Mathematical and Theoretical•May 11, 2010•22 citations

ONE-DIMENSIONAL POTENTIAL BARRIER PROBLEMS

WORLD SCIENTIFIC eBooks•Jun 1, 2005•0 citations

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

Jian-You Guo, Yi Yu, Shaowei Jin

Abstract 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.

Open Physics•Nov 13, 2008•13 citations
Abstract 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.