Relativistic symmetries of the Dirac Hamiltonian with a mixture of spherically symmetric Lorentz scalar and vector potentials are examined from the point of view of supersymmetric quantum mechanics. The cases considered include the Coulomb, pseudospin and spin limits relevant, respectively, to atoms, nuclei and hadrons.
Bibliographical noteFunding Information:
It is a pleasure and privilege to dedicate this article to Bruce Barrett on the occasion of his 60th birthday. This work was supported by the Israel Science Foundation.
- Dirac Hamiltonian
- Relativistic pseudospin
- Spin and Coulomb symmetries
- Supersymmetric quantum mechanics