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In this paper, we investigate the quantum dynamics of a non-relativistic particle confined by the Aharonov-Bohm quantum flux field with pseudoharmonic-type potential in the background of topological defect produced by a point-like global…

High Energy Physics - Theory · Physics 2023-04-21 Faizuddin Ahmed

In this analysis, we study the quantum motions of a non-relativistic particle confined by the Aharonov-Bohm (AB) flux field with harmonic oscillator plus Mie-type potential in a point-like defect. We determine the eigenvalue solution of the…

Quantum Physics · Physics 2023-04-20 Faizuddin Ahmed

In this work, we investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm (AB) flux field within a topological defect geometry, for example, space-time with a distortion…

Quantum Physics · Physics 2024-02-13 Prabir Rudra , Faizuddin Ahmed , Houcine Aounallah

In this work, the non-relativistic wave equation via the Schr\"{o}dinger wave equation under the influence of the Aharonov-Bohm flux field Subject to physical potentials of various kinds is investigated. These potentials are modified…

Quantum Physics · Physics 2022-08-10 Faizuddin Ahmed , Kayser Ahmed , Akheruzzaman Ahmed , Ariful Islam , Bikash Pratim Barman

This research paper delves into the study of a non-relativistic quantum system, considering the interplay of non-inertial effects induced by a rotating frame and confinement by the Aharonov-Bohm (AB) flux field with potential in the…

Quantum Physics · Physics 2023-08-31 Faizuddin Ahmed , Houcine Aounallah , Prabir Rudra

This study presents the solutions of Schr\"odinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schr\"odinger equation are obtained…

Quantum Physics · Physics 2019-09-24 C. O. Edet , P. O Okoi , S. O Chima

We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential…

Nuclear Theory · Physics 2013-08-01 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary $m$-state in two-dimensional Schr\"{o}dinger wave equation with various power interaction potentials in constant magnetic and…

Quantum Physics · Physics 2014-12-23 Sameer M. Ikhdair , Babatunde J. Falaye , Majid Hamzavi

A 2D Schrodinger equation with interacting Mobius square potential model is solved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The energy spectra and the corresponding wave function for the linearly and exponentially…

Analytical solutions are presented for eigenvalues, eigenfunctions of {\color{red} D-dimensional Schrodinger equation having Eckart potential} within Nikiforov-Uvarov method. This uses a new, improved approximation for centrifugal term,…

Quantum Physics · Physics 2022-05-19 Debraj Nath , Amlan K. Roy

Analytical solutions of the N-dimensional Schr\"odinger equation for the newly proposed Varshni-Hulth\'en potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal…

Quantum Physics · Physics 2020-12-29 E. P. Inyang , E. S. William , J. A. Obu

We study the effect of the cubic torus topology of the Universe on scalar cosmological perturbations which define the gravitational potential. We obtain three alternative forms of the solution for both the gravitational potential produced…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Maxim Eingorn , Ezgi Canay , Jacob M. Metcalf , Maksym Brilenkov , Alexander Zhuk

In this work, we obtained analytical bound state solution of the Schr\"odinger equation with Manning Rosen plus exponential Yukawa Potential using parametric Nikiforov-Uvarov method (NU). We obtained the normalized wave function in terms of…

In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical…

Quantum Physics · Physics 2020-12-22 C. M. Ekpo , J. E. Osang , E. B. Ettah

The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schr\"odinger equation is solved using the Nikiforov-Uvarov (NU) method, in…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 L. Máthé , C. P. Onyenegecha , A. -A. Farcaş , L. -M. Pioraş-Ţimbolmaş , M. Solaimani , H. Hassanabadi

Explicit and analytical bound-state solutions of the Schrodinger equation for squared-form trigonometric potentials within the framework of supersymmetric quantum mechanics (SUSYQM) are performed by implementing the Nikiforov-Uvarov (NU)…

Quantum Physics · Physics 2023-08-23 Metin Aktas

We report bound state solutions of the Klein Gordon equation with a novel combined potential, the Eckart plus a class of Yukawa potential, by means of the parametric Nikiforov-Uvarov method. To deal the centrifugal and the coulombic…

Quantum Physics · Physics 2023-05-16 Mehmet Demirci , Ramazan Sever

We approximately solve the Dirac equation for a new suggested generalized inversely quadratic Yukawa (GIQY) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number In the framework of the spin…

Nuclear Theory · Physics 2012-12-11 Sameer M. Ikhdair , Majid Hamzavi

We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilton-Jacobi equation of the conventional semi-classical…

Mathematical Physics · Physics 2015-06-03 Vincent Moncrief , Antonella Marini , Rachel Maitra

The analytical solutions of the Klein-Gordon equation with the Yukawa potential is presented within the framework of an approximation to the centrifugal potential for any arbitrary state with the position-dependent mass using the parametric…

Quantum Physics · Physics 2017-08-14 C. A. Onate , A. N. Ikot , M. C. Onyeaju , O. Ebomwonyi
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