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

Omar Mustafa; S. Habib Mazharimousavi

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

Quantum Physics 2008-01-24 v2

Authors: Omar Mustafa , S. Habib Mazharimousavi

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.

Keywords

non-hermitian quantum mechanics integrable hamiltonian systems eigenvalue spectra

Cite

@article{arxiv.0710.5814,
  title  = {A class of spherically-separable non-Hermitian PphiTphi-symmetric Hamiltonians},
  author = {Omar Mustafa and S. Habib Mazharimousavi},
  journal= {arXiv preprint arXiv:0710.5814},
  year   = {2008}
}

Comments

This paper has been withdrawn for its now combined with 0711.3887 to form 0801.3572

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

Abstract

Keywords

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