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

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

2005-11-18

arxiv.org/abs/quant-ph/0511182v2

J. Phys. A 39 (2006) L127-L134

Physics

Quantum Physics

13 pages, no figure, modified presentation, 6 additional references, published version

Scientific paper

10.1088/0305-4470/39/6/L01

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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