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

B. Bagchi·A. Banerjee·C. Quesne
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Abstract

To lowest order of perturbation theory we show that an equivalence can be established between a $\cal PT$-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.

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B. Bagchi, A. Banerjee, C. Quesne. 2006-06-01. PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach. https://doi.org/10.1007/s10582-006-0385-y

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