International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 11, Issue 8 (August 2024), Pages: 44-50

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 Original Research Paper

Position-dependent mass Schrödinger equation for the q-deformed Woods-Saxson plus hyperbolic tangent potential

 Author(s): 

 Emad Jaradat 1, *, Saja Tarawneh 1, Amer Aloqali 1, Marwan Ajoor 1, Raed Hijjawi 1, Omar Jaradat 2

 Affiliation(s):

 1Department of Physics, Mutah University, Al-Karak, Jordan
 2Department of Mathematics, Mutah University, Al-Karak, Jordan

 Full text

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-5335-7060

 Digital Object Identifier (DOI)

 https://doi.org/10.21833/ijaas.2024.08.005

 Abstract

In this work, we propose a new potential called the "q-deformed Woods-Saxon plus hyperbolic tangent potential." We derive the generalized Schrödinger equation for quantum mechanical systems with position-dependent masses under these potentials using the Nikiforov-Uvarov method, with the mass relationship defined as m(x)=m1/(1+qe-2λx). The solutions to this equation, expressed in terms of hypergeometric functions and Jacobi polynomials, offer insights into the quantum behavior of particles. The energy eigenvalues depend on system parameters such as the deformation parameter q, potential parameters, and quantum numbers. We analyzed the effect of the deformation parameter q numerically and visually using different values of these parameters.

 © 2024 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords

 Schrödinger equation, Nikiforov-Uvarov method, Q-deformed Woods-Saxon plus, hyperbolic tangent potential, Position dependent mass

 Article history

 Received 6 February 2024, Received in revised form 22 June 2024, Accepted 21 July 2024

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Jaradat E, Tarawneh S, Aloqali A, Ajoor M, Hijjawi R, and Jaradat O (2024). Position-dependent mass Schrödinger equation for the q-deformed Woods-Saxson plus hyperbolic tangent potential. International Journal of Advanced and Applied Sciences, 11(8): 44-50

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 

 Tables

 Table 1 Table 2 

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