A class of spherically-separable non-Hermitian PphiTphi-symmetric Hamiltonians

A family of spherical non-Hermitian potentials is studied. It is shown that the corresponding non-Hermitian Hamiltonians admit some “new” P$phi$T$phi$-symmetry. It is observed that whilst such P$phi$T$phi$-symmetric Hamiltonians just copy the eigenvalues of V®, the corresponding wavefunctions would rather indulge some new probabilistic interpretations due to the change in the azimuthal part.