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

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

2007-10-31

arxiv.org/abs/0710.5814v2

Physics

Quantum Physics

This paper has been withdrawn for its now combined with 0711.3887 to form 0801.3572

Scientific paper

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.

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