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

Europhysics Letters (EPL)

Scattering state study of fermions due to q-deformed Dirac delta potential

Narges Heidari, HASSAN HASSANABADI, W. S. Chung

Published Mar 1, 2022• 0 citations
Publisher

Abstract

Abstract In this paper, by introducing the q -deformed delta function, the Dirac equation for a fermion in the presence of Dirac delta scalar and vector potential is developed. Then, considering the boundary condition and the effect of the q -deformed Dirac delta potential, the scattering state is investigated. Further, the reflection and transmission coefficients are determined. Moreover, the effect of the q -parameter and the potential coefficient on the reflection and transmission coefficients is reported.

DOI
10.1209/0295-5075/ac6066

Related papers

Scattering Study of Fermions due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics

HASSAN HASSANABADI, Hadi Sobhani, Won Sang Chung

We have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential. We have used Dirac equation in the presence of the scalar and vector potentials in the quaternionic formalism of relativistic quantum mechanics to study the problem. The wave functions of different regions have been derived. Then, using the reflection coefficient, transmission coefficient, and the continuity equation, the scattering problem has been investigated in detail. It has been shown that we have faced some fluctuations in the reflection and transmission coefficients.

arXiv:1709.09941•Advances in High Energy Physics•Jan 1, 2018•18 citations

q -Deformed Relativistic Fermion Scattering

Hadi Sobhani, Won Sang Chung, HASSAN HASSANABADI

In this article, after introducing a kind of q -deformation in quantum mechanics, first, q -deformed form of Dirac equation in relativistic quantum mechanics is derived. Then, three important scattering problems in physics are studied. All results have satisfied what we had expected before. Furthermore, effects of all parameters in the problems on the reflection and transmission coefficients are calculated and shown graphically.

Advances in High Energy Physics•Jan 1, 2017•12 citations

Scattering in quantum mechanics under quaternionic Dirac delta potential

Hadi Sobhani, HASSAN HASSANABADI

In this paper, the Schrödinger equation for quaternionic quantum mechanics with a Dirac delta potential has been investigated. The derivative discontinuity condition for the quaternionic wave function has been derived and the boundary conditions for the quaternionic wave function have been applied. Probability current densities for different regions of the problem have been determined along with reflection and transmission coefficients.

Canadian Journal of Physics•Dec 4, 2015•30 citations

$q$-Deformed Relativistic Fermion Scattering

Hadi Sobhani, Won Sang Chung, HASSAN HASSANABADI

In this article, after introducing a kind of q-deformation in quantum mechanics, first, q-deformed form of Dirac equation in relativistic quantum mechanics is derived. Then three important scat erring problem in physics are studied. All results have satisfied what we had expected before. Furthermore, effects of all parameters in the problems on the reflection and transmission coefficients are calculated and shown graphically.

arXiv:1612.08292•Dec 25, 2016•0 citations

Relativistic scattering of fermions in quaternionic quantum mechanics

HASSAN HASSANABADI, Hadi Sobhani, A. Banerjee

In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex version of this equation can be covered. After setting a quaternionic form for the Dirac delta potential, scattering due to the considered interaction has been studied. Wave functions and discontinuity conditions of the problem considered have been derived in detail. Using the continuity equation, we have found a constraint implying the conservation law of the probability current.

The European Physical Journal C•Sep 1, 2017•30 citations

Scattering and Bound States of the Dirac Particle for q-Parameter Hyperbolic Pöschl-Teller Potential

M. C. Onyeaju, A. N. Ikot, C. A. Onate +2 more

Abstract The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic Pöschl-Teller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtained by using the properties of the equation of continuity of the wave functions. We calculat in details the transmission and reflection coefficients .

Communications in Theoretical Physics•Nov 1, 2018•4 citations
Abstract In this paper, by introducing the q -deformed delta function, the Dirac equation for a fermion in the presence of Dirac delta scalar and vector potential is developed. Then, considering the boundary condition and the effect of the q -deformed Dirac delta potential, the scattering state is investigated. Further, the reflection and transmission coefficients are determined. Moreover, the effect of the q -parameter and the potential coefficient on the reflection and transmission coefficients is reported.
We have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential. We have used Dirac equation in the presence of the scalar and vector potentials in the quaternionic formalism of relativistic quantum mechanics to study the problem. The wave functions of different regions have been derived. Then, using the reflection coefficient, transmission coefficient, and the continuity equation, the scattering problem has been investigated in detail. It has been shown that we have faced some fluctuations in the reflection and transmission coefficients.
qqq-Deformed Relativistic Fermion Scattering
In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex version of this equation can be covered. After setting a quaternionic form for the Dirac delta potential, scattering due to the considered interaction has been studied. Wave functions and discontinuity conditions of the problem considered have been derived in detail. Using the continuity equation, we have found a constraint implying the conservation law of the probability current.