Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry

Understand

A non-Hermitian P$_{\phi}$T$_{\phi}$-symmetrized spherically-separable Dirac Hamiltonian is considered.

• It is observed that the descendant Hamiltonians H$_{r}$, H$_{\theta}$, and H$_{\phi}$ play essential roles and offer some user-feriendly options as to which one (or ones) of them is (or are) non-Hermitian.
• Considering a P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$, we have shown that the conventional relativistic energy eigenvalues are recoverable.
• We have also witnessed an unavoidable change in the azimuthal part of the general wavefunction.