Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
Quantum Physics
2009-11-11 v2
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.
Cite
@article{arxiv.quant-ph/0511182,
title = {Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework},
author = {B. Bagchi and C. Quesne and R. Roychoudhury},
journal= {arXiv preprint arXiv:quant-ph/0511182},
year = {2009}
}
Comments
13 pages, no figure, modified presentation, 6 additional references, published version