PT-symmetry and Non-Central Potentials
| Autor: | G. Lévai |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Acta Polytechnica, Vol 47, Iss 2-3 (2007) |
| Druh dokumentu: | article |
| ISSN: | 1210-2709 1805-2363 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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