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PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach

par Bagchi, Bijan;Banerjee, A.;Quesne, Christiane
Référence Czechoslovak Journal of Physics, 56, 9, page (893-898)
Publication Publié, 2006-09

Article révisé par les pairs

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Résumé :

To lowest order of perturbation theory we show that an equivalence can be established between a PT -symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian h. An important feature of h is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities. © Institute of Physics, Academy of Sciences of Czech Republic 2006.