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

Abstract

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(r), the corresponding wavefunctions would rather indulge some new probabilistic interpretations due to the change in the azimuthal part.

This paper has been withdrawn for its now combined with 0711.3887 to form 0801.3572