Hidden pseudospin and spin symmetries and their origins in atomic nuclei

H Liang, J Meng, SG Zhou - Physics Reports, 2015 - Elsevier
Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-
particle orbitals (n, l, j= l+ 1/2) and (n− 1, l+ 2, j= l+ 3/2) indicates a hidden symmetry in …

Any l-state solutions of the Schrodinger equation interacting with Hellmann–Kratzer potential model

CO Edet, KO Okorie, H Louis, NA Nzeata-Ibe - Indian Journal of Physics, 2020 - Springer
The approximate analytical solutions of the radial Schrodinger equation have been obtained
with a newly proposed potential called Hellmann–Kratzer potential. The potential is a …

[HTML][HTML] Pseudospin symmetry in the relativistic Manning–Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term

GF Wei, SH Dong - Physics Letters B, 2010 - Elsevier
Based on the Sturm–Liouville theorem and shape invariance formalism, we study by
applying a Pekeris-type approximation to the pseudo-centrifugal term the pseudospin …

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

US Okorie, AN Ikot, CO Edet, GJ Rampho… - Journal of Physics …, 2019 - iopscience.iop.org
We solve the D-dimensional Klein–Gordon equation with a newly proposed generalized
hyperbolic potential model, under the condition of equal scalar and vector potentials. The …

Relativistic treatment of the Hellmann-generalized Morse potential

PO Okoi, CO Edet, TO Magu - Revista mexicana de física, 2020 - scielo.org.mx
We solve the relativistic equations (Klein-Gordon and Dirac equation) via the conventional
Nikiforov-Uvarov method. In order to overcome the centrifugal barrier, we employed the well …

Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic …

M Hamzavi, AA Rajabi, H Hassanabadi - Physics Letters A, 2010 - Elsevier
In this Letter, the Dirac equation is exactly solved for spatially-dependent mass Coulomb
potential including a Coulomb-like tensor potential under pseudospin symmetry limit by …

Two-dimensional Dirac particles in a Pöschl-Teller waveguide

RR Hartmann, ME Portnoi - Scientific Reports, 2017 - nature.com
We obtain exact solutions to the two-dimensional (2D) Dirac equation for the one-
dimensional Pöschl-Teller potential which contains an asymmetry term. The eigenfunctions …

Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method

H Hassanabadi, E Maghsoodi, S Zarrinkamar… - Journal of …, 2012 - pubs.aip.org
Approximate analytical solutions of spin and pseudospin symmetry limits of Dirac equation
are reported for the generalized Pöschl-Teller scalar and vector potentials and a Coulomb …

Eigen solutions and entropic system for Hellmann potential in the presence of the Schrödinger equation

CA Onate, MC Onyeaju, AN Ikot… - The European Physical …, 2017 - Springer
By using the supersymmetric approach, we studied the approximate analytic solutions of the
three-dimensional Schrödinger equation with the Hellmann potential by applying a suitable …

Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations

H Liang, S Shen, P Zhao, J Meng - Physical Review C—Nuclear Physics, 2013 - APS
The origin of pseudospin symmetry (PSS) and its breaking mechanism are explored by
combining supersymmetry (SUSY) quantum mechanics, perturbation theory, and the …