Solvable PT -symmetric potentials in higher dimensions

Research output: Contribution to journalArticle

15 Citations (Scopus)

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
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number15
DOIs
Publication statusPublished - Apr 13 2007

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Higher Dimensions
PT Symmetry
Three-dimension
Two Dimensions
Term
Demonstrate
symmetry
Generalization

ASJC Scopus subject areas

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

Cite this

Solvable PT -symmetric potentials in higher dimensions. / Lévai, G.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 15, 13.04.2007.

Research output: Contribution to journalArticle

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