Supersymmetry and quantum mechanics

F Cooper, A Khare, U Sukhatme - Physics Reports, 1995 - Elsevier
In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

A general approach for the exact solution of the Schrödinger equation

C Tezcan, R Sever - International Journal of Theoretical Physics, 2009 - Springer
The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …

Mass spectrum of heavy quarkonium for screened Kratzer potential (SKP) using series expansion method

EE Ibekwe, US Okorie, JB Emah, EP Inyang… - The European Physical …, 2021 - Springer
In this study, the radial Schrödinger equation is solved with the screened Kratzer potential
using the series expansion method. The bound state energy spectra are obtained. To check …

Solutions of the nonrelativistic wave equation with position-dependent effective mass

AD Alhaidari - Physical Review A, 2002 - APS
Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

Approximate analytical solutions of the Dirac equation with the generalized Pöschl–Teller potential including the pseudo-centrifugal term

CS Jia, T Chen, LG Cui - Physics Letters A, 2009 - Elsevier
By employing an improved approximation scheme to deal with the pseudo-centrifugal term,
we solve approximately the Dirac equation with the generalized Pöschl–Teller potential for …

Bound state solution of radial schrodinger equation for the quark–antiquark interaction potential

EE Ibekwe, AT Ngiangia, US Okorie, AN Ikot… - Iranian Journal of …, 2020 - Springer
This work analytically solved the radial Schrödinger equation with an exponential,
generalised, anharmonic Cornell potential using the series expansion method. It also …

Quarkonium masses in the N-dimensional space using the analytical exact iteration method

EM Khokha, M Abu-Shady, TA Abdel-Karim - arxiv preprint arxiv …, 2016 - arxiv.org
The N-dimensional radial Schrodinger equation with an extended Cornell potential is
solved. The analytical exact iteration method is applied. The energy eigenvalues are …

Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach

S Zarrinkamar, AA Rajabi, H Hassanabadi - Annals of Physics, 2010 - Elsevier
The problem of analytical solutions of the 3-dimensional Dirac equation is usually studied
via techniques such as The Nikiforov–Uvarov (NU) method. Here, we see that one of the …

Exact Solution of the N-dimensional Radial Schr\" odinger Equation via Laplace Transformation Method with the Generalized Cornell Potential

M Abu-Shady, TA Abdel-Karim, EM Khokha - arxiv preprint arxiv …, 2018 - arxiv.org
The exact solution of N-dimensional radial Schr\" odinger equation with the generalized
Cornell potential has been obtained using the Laplace transformation (LT) method. The …

Solution of the relativistic Dirac-Morse problem

AD Alhaidari - Physical Review Letters, 2001 - APS
The Dirac equation for a charged particle in a static electromagnetic field is written for the
special case of a spherically symmetric potential. Besides the well-known Dirac-Coulomb …