Pseudospin symmetry and the relativistic harmonic oscillator
Pseudospin symmetry and the relativistic harmonic oscillator
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, as well as a tensor potential $U$ linear in $r$. Setting either or both combinations $\ensuremath{\Sigma}=S+V$ and $\ensuremath{\Delta}=V\ensuremath{-}S$ to zero, analytical solutions …