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

TL;DR

This paper explores various symmetries, including supersymmetries, of the Dirac Hamiltonian with axially-deformed potentials, revealing new symmetry classes and their associated charges in 3+1 dimensions.

Contribution

It identifies new symmetry classes and supersymmetries of the Dirac Hamiltonian with axially-deformed scalar and vector potentials, extending known pseudospin and spin limits.

Findings

Supersymmetries are present within each symmetry class.

Additional symmetries occur when potentials depend on different variables.

Charges associated with supersymmetries are explicitly identified.

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.