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

The European Physical Journal Plus

Scattering states of the dirac equation under asymmetric Hulthén potential

HASSAN HASSANABADI, E. Maghsoodi, Nasrin Salehi, A. N. Ikot, S. Zarrinkamar

Published Oct 1, 2013• 9 citations
Publisher
DOI
10.1140/epjp/i2013-13127-8

Related papers

Approximation solution of the Dirac equation with position-dependent mass for the generalized Hulthén potential

Xiaolong Peng, Jian-Yi Liu, Chun‐Sheng Jia

Physics Letters A•Dec 28, 2005•51 citations

Bound states of the Dirac equation for the PT-symmetric generalized Hulthén potential by the Nikiforov–Uvarov method

Harun Eğrifes, R. Sever

arXiv:quant-ph/0507165•Physics Letters A•Jun 30, 2005•69 citations

Scattering states of Dirac particle equation with position-dependent mass under the cusp potential

M. Chabab, A. El Batoul, HASSAN HASSANABADI +2 more

arXiv:1610.07375•The European Physical Journal Plus•Nov 1, 2016•12 citations

Scattering and Transmission Resonances in One-Dimensional Hulthén Potential Barrier

Min‐Cang Zhang

International Journal of Theoretical Physics•Jan 22, 2009•1 citation

Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential

Soner Alpdoğan, Ali Havare

The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.

Advances in High Energy Physics•Jan 1, 2014•9 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
The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.
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.