Quantum complex Henon-Heiles potentials

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Bender C., Dunne G., Meisinger P., Simsek M.

PHYSICS LETTERS A, vol.281, pp.311-316, 2001 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 281
  • Publication Date: 2001
  • Doi Number: 10.1016/s0375-9601(01)00146-3
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.311-316
  • Keywords: PT-symmetry, large order perturbation theory, multidimensional WKB, PERTURBATION-THEORY, LARGE-ORDER, HAMILTONIANS, EIGENVALUES, OSCILLATOR, MECHANICS, SYMMETRY
  • Gazi University Affiliated: No


Quantum-mechanical PT-symmetric theories associated with complex cubic potentials such as V = x(2) + y(2) + igxy(2) and V = x(2) + y(2) + z(2) + igxyz, where g is a real parameter, are investigated. These theories appear to possess real, positive spectra. Low-lying energy levels are calculated to very high order in perturbation theory. The large-order behavior of the perturbation coefficients is determined using multidimensional WKB tunneling techniques. This approach is also applied to the complex Henon-Heiles potential V = x(2) + y(2) + ig(xy(2) - (1/3)x(3)). (C) 2001 Elsevier Science B.V. All rights reserved.