dorsal/arxiv
View SchemaPseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
| Authors | B. Bagchi, C. Quesne, R. Roychoudhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511182 |
| URL | https://arxiv.org/abs/quant-ph/0511182 |
| DOI | 10.1088/0305-4470/39/6/L01 |
| Journal | J. Phys. A 39 (2006) L127-L134 |
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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"abstract": "We formulate a systematic algorithm for constructing a whole class of\nHermitian position-dependent-mass Hamiltonians which, to lowest order of\nperturbation theory, allow a description in terms of PT-symmetric Hamiltonians.\nThe method is applied to the Hermitian analogue of the PT-symmetric cubic\nanharmonic oscillator. A new example is provided by a Hamiltonian\n(approximately) equivalent to a PT-symmetric extension of the one-parameter\ntrigonometric Poschl-Teller potential.",
"arxiv_id": "quant-ph/0511182",
"authors": [
"B. Bagchi",
"C. Quesne",
"R. Roychoudhury"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/6/L01",
"journal_ref": "J. Phys. A 39 (2006) L127-L134",
"title": "Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework",
"url": "https://arxiv.org/abs/quant-ph/0511182"
},
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