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

arXiv:1107.3204 · Physica Scripta

Scattering and bound state solutions of the asymmetric Hulthén potential

Altuğ Arda, Oktay Aydogdu A, R. Sever

Published Jul 6, 2011• 28 citations
arXivHTMLPDF

Abstract

The one-dimensional time-independent Schrödinger equation is solved for the asymmetric Hulthén potential. The reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in the non-relativistic region.
DOI
10.1088/0031-8949/84/02/025004

Related papers

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

Scattering of a Klein–Gordon particle by a Hulthén potential

Jian-You Guo, Xiang-Zheng Fang

The Klein–Gordon equation in the presence of a spatially one-dimensional Hulthén potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions. The transmission coefficient is derived by the matching conditions on the wave functions and the conditions for the existence of transmission resonances are investigated. It is shown how the zero-reflection condition depends on the shape of the potential.

arXiv:0710.2575•Canadian Journal of Physics•Sep 1, 2009•15 citations

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

Jian You Guo, Shao Wei Jin, Fu Xin Xu

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.

arXiv:0710.2576•Oct 13, 2007•0 citations

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 spinless particle by an asymmetric Hulthén potential within the effective mass formalism

Oktay Aydogdu A, Altuğ Arda, R. Sever

Effective mass Klein-Gordon equation for the asymmetric Hulthén potential is solved in terms of hypergeometric functions. Results are obtained for the scattering and bound states with the position dependent mass and constant mass, as a special case. In both cases, we derive a condition for the existence of transmission resonance (T = 1). We also study how the transmission resonance depends on the particle energy and the shape of the external potential.

arXiv:1210.0361•Journal of Mathematical Physics•Oct 1, 2012•14 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
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.
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.