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Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework

par Bagchi, Bijan;Quesne, Christiane ;Roychoudhury, Rajkumar
Référence Journal of Physics A: Mathematical and General, 39, 6, page (L127-L134)
Publication Publié, 2006-02

Article révisé par les pairs

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Résumé :

We formulate a systematic algorithm for constructing a whole class of Hermitian position-dependent-mass Hamiltonians which, to lowest order of perturbation theory, allow a description in terms of -symmetric Hamiltonians. The method is applied to the Hermitian analogue of the -symmetric cubic anharmonic oscillator. A new example is provided by a Hamiltonian (approximately) equivalent to a -symmetric extension of the one-parameter trigonometric Pöschl-Teller potential. © 2006 IOP Publishing Ltd.