Solvable PT -symmetric potentials in higher dimensions

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Abstract

PT -symmetric, non-relativistic quantum mechanical potentials are discussed in two and three spatial dimensions. Conditions are formulated under which these potentials are PT -symmetric and can be solved exactly by the separation of the radial and angular variables. It is found that the angular variables play an essential role in introducing non-Hermiticity via the imaginary potential terms. A simple partially exactly solvable potential is used to demonstrate various aspects of PT symmetry in both two and three dimensions. Possible generalizations of the results are outlined.

Original languageEnglish
Pages (from-to)F273-F280
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number15
DOIs
Publication statusPublished - Apr 13 2007

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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