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

B. Bagchi·C. Quesne·R. Roychoudhury
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Abstract

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 PT-symmetric Hamiltonians. The method is applied to the Hermitian analogue of the PT-symmetric cubic anharmonic oscillator. A new example is provided by a Hamiltonian (approximately) equivalent to a PT-symmetric extension of the one-parameter trigonometric Poschl-Teller potential.

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B. Bagchi, C. Quesne, R. Roychoudhury. 2006-01-30. Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework. https://doi.org/10.1088/0305-4470/39/6/l01

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