dorsal/arxiv
View Schema(1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
| Authors | Omar Mustafa, S. Habib Mazharimousavi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611149 |
| URL | https://arxiv.org/abs/quant-ph/0611149 |
| DOI | 10.1007/s10773-007-9539-3 |
| Journal | Int. J. Theor. Phys. 47, 1112 (2008) |
Abstract
The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The signature of the "quasi-parity" on the Dirac particles' spectra is also studied. A Dirac particle with PDM and complexified scalar interactions of the form S(z)=S(x-ib) (an inversely linear plus linear, leading to a PT-symmetric oscillator model), and S(x)=S_{r}(x)+iS_{i}(x) (a PT-symmetric Scarf II model) are considered. Moreover, a first-order intertwining differential operator and an $\eta$-weak-pseudo-Hermiticity generator are presented and a complexified PT-symmetric periodic-type model is used as an illustrative example.
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"abstract": "The effect of the built-in supersymmetric quantum mechanical language on the\nspectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and\ncomplexified Lorentz scalar interactions, is re-emphasized. The signature of\nthe \"quasi-parity\" on the Dirac particles\u0027 spectra is also studied. A Dirac\nparticle with PDM and complexified scalar interactions of the form S(z)=S(x-ib)\n(an inversely linear plus linear, leading to a PT-symmetric oscillator model),\nand S(x)=S_{r}(x)+iS_{i}(x) (a PT-symmetric Scarf II model) are considered.\nMoreover, a first-order intertwining differential operator and an\n$\\eta$-weak-pseudo-Hermiticity generator are presented and a complexified\nPT-symmetric periodic-type model is used as an illustrative example.",
"arxiv_id": "quant-ph/0611149",
"authors": [
"Omar Mustafa",
"S. Habib Mazharimousavi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-007-9539-3",
"journal_ref": "Int. J. Theor. Phys. 47, 1112 (2008)",
"title": "(1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric",
"url": "https://arxiv.org/abs/quant-ph/0611149"
},
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