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 …

Relativistic symmetries of the Dirac Hamiltonian had been discovered many years ago but
only recently have these symmetries been recognized empirically in nuclear and hadronic …

A generalized relativistic harmonic oscillator for spin 1∕ 2 particles is studied. The Dirac
Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate …

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 …

Pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the lower
component of the Dirac spinor. Here, we investigate the conservation and breaking of PSS …

The energy spectra and the corresponding two-component spinor wave functions of the
Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are …

In this work we study the contribution of the isoscalar tensor coupling to the realization of
pseudospin symmetry in nuclei. Using realistic values for the tensor coupling strength, we …

Pseudospin symmetry (PSS) plays critical roles in the formation of many physical
phenomena, and has been studied extensively from spherical nuclei to deformed nuclei …

We investigate the exact solution of the Dirac equation for the Mie-type potentials under the
conditions of pseudospin and spin symmetry limits. The bound state energy equations and …

We solve the generalized relativistic harmonic oscillator in 1+ 1 dimensions, ie, including a
linear pseudoscalar potential and quadratic scalar and vector potentials which have equal …