Spectral analysis of the complex cubic oscillator

TitreSpectral analysis of the complex cubic oscillator
Type de publicationArticle de revue
AuteurDelabaere, Eric , Trinh, Duc Tai
EditeurInstitute of Physics
TypeArticle scientifique dans une revue à comité de lecture
Année2000
LangueAnglais
DateAug-12-2000
Numéro48
Pagination8771-8796
Volume33
Titre de la revueJournal of Physics A: Mathematical and General
ISSN0305-4470
Résumé en anglais

Using the `exact semiclassical analysis', we study the spectrum of a one-parameter family of complex cubic oscillators. The PT-invariance property of the complex Hamiltonians and the reality property of the spectrum are discussed. Analytic continuations of the spectrum in the complex parameter and their connections with the resonance problem for the real cubic oscillator are investigated. The global analytic structure of the spectrum yields a branch point structure similar to the multivalued analytic structure discovered by Bender and Wu for the quartic oscillator.

URL de la noticehttp://okina.univ-angers.fr/publications/ua8542
DOI10.1088/0305-4470/33/48/314
Titre abrégéJ. Phys. A: Math. Gen.