Physics – Quantum Physics
Scientific paper
2001-01-18
Phys.Lett. A281 (2001) 311-316
Physics
Quantum Physics
14 pp, 4 figs
Scientific paper
10.1016/S0375-9601(01)00146-3
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-x^3/3).
Bender Carl M.
Dunne Gerald V.
Meisinger Peter N.
Simsek Mehmet
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