dorsal/arxiv
View SchemaComment on "Position-dependent effective mass Dirac equations with PT- symmetric and non - PT- symmetric potentials" [J. Phys. A: Math. Gen. 39 (2006) 11877--11887]
| Authors | Omar Mustafa, S. Habib Mazharimousavi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611288 |
| URL | https://arxiv.org/abs/quant-ph/0611288 |
| DOI | 10.1088/1751-8113/40/4/N01 |
| Journal | J. Phys. A: Math. Theor. 40, 863 (2007) |
Abstract
Jia and Dutra (J. Phys. A: Math. Gen. 39 (2006) 11877) have considered the one-dimensional non-Hermitian complexified potentials with real spectra in the context of position-dependent mass in Dirac equation. In their second example, a smooth step shape mass distribution is considered and a non-Hermitian non - PT- symmetric Lorentz vector potential is obtained. They have mapped this problem into an exactly solvable Rosen-Morse Schrodinger model and claimed that the energy spectrum is real. The energy spectrum they have reported is pure imaginary or at best forms an empty set. Their claim on the reality of the energy spectrum is fragile, therefore.
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"abstract": "Jia and Dutra (J. Phys. A: Math. Gen. 39 (2006) 11877) have considered the\none-dimensional non-Hermitian complexified potentials with real spectra in the\ncontext of position-dependent mass in Dirac equation. In their second example,\na smooth step shape mass distribution is considered and a non-Hermitian non -\nPT- symmetric Lorentz vector potential is obtained. They have mapped this\nproblem into an exactly solvable Rosen-Morse Schrodinger model and claimed that\nthe energy spectrum is real. The energy spectrum they have reported is pure\nimaginary or at best forms an empty set. Their claim on the reality of the\nenergy spectrum is fragile, therefore.",
"arxiv_id": "quant-ph/0611288",
"authors": [
"Omar Mustafa",
"S. Habib Mazharimousavi"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/4/N01",
"journal_ref": "J. Phys. A: Math. Theor. 40, 863 (2007)",
"title": "Comment on \"Position-dependent effective mass Dirac equations with PT- symmetric and non - PT- symmetric potentials\" [J. Phys. A: Math. Gen. 39 (2006) 11877--11887]",
"url": "https://arxiv.org/abs/quant-ph/0611288"
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