PT-symmetry and Non-Central Potentials

Authors

  • G. Lévai

DOI:

https://doi.org/10.14311/932

Keywords:

PT symmetry, angular and radial variables, non-central potentials

Abstract

We present a general procedure by which solvable non-central potentials can be obtained in 2 and 3 dimensions by the separation of the angular and radial variables. The method is applied to generate solvable non-central PT-symmetric potentials in polar coordinates. General considerations are presented concerning the PT transformation properties of the eigenfunctions, their pseudo-norm and the nature of the energy eigenvalues. It is shown that within the present framework the spontaneous breakdown of PT symmetry can be implemented only in two dimensions. 

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Author Biography

G. Lévai

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Published

2007-01-02

How to Cite

Lévai, G. (2007). PT-symmetry and Non-Central Potentials. Acta Polytechnica, 47(2-3). https://doi.org/10.14311/932

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Section

Articles