Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials

Abstract

We consider several classes of symmetries of the Dirac Hamiltonian in 3+1 dimensions, with axially-deformed scalar and vector potentials. The symmetries include the known pseudospin and spin limits and additional symmetries which occur when the potentials depend on different variables. Supersymmetries are observed within each class and the corresponding charges are identified.

4 pages, 2 figures, Phys. Rev. Lett. in press

References in corpus (1)

• On the forward cone quantization of the Dirac field in "longitudinal boost-invariant" coordinates with cylindrical symmetry

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• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei
• Phenomenological study on the significance of the scalar potential and Lamb shift