dorsal/arxiv
View SchemaFirst-order intertwining operators with position dependent mass and $\eta$- weak-psuedo-Hermiticity generators
| Authors | Omar Mustafa, S. Habib Mazharimousavi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607030 |
| URL | https://arxiv.org/abs/quant-ph/0607030 |
| DOI | 10.1007/s10773-007-9470-7 |
| Journal | Int. J. Theor. Phys. 47, 446 (2008) |
Abstract
A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of $\eta$-weak-pseudo-Hermitian position-dependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target $\eta$-weak-pseudo-Hermitian PDM -- Hamiltonians' map is suggested. Some $\eta$-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models are used as illustrative examples. Energy-levels crossing and flown-away states phenomena are reported for the resulting Scarf II spectrum. Some of the corresponding $\eta$-weak-pseudo-Hermitian Scarf II- and periodic-type-isospectral models (PT -symmetric and non-PT -symmetric) are given as products of the reference-target map.
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"abstract": "A Hermitian and an anti-Hermitian first-order intertwining operators are\nintroduced and a class of $\\eta$-weak-pseudo-Hermitian position-dependent mass\n(PDM) Hamiltonians are constructed. A corresponding reference-target\n$\\eta$-weak-pseudo-Hermitian PDM -- Hamiltonians\u0027 map is suggested. Some\n$\\eta$-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models\nare used as illustrative examples. Energy-levels crossing and flown-away states\nphenomena are reported for the resulting Scarf II spectrum. Some of the\ncorresponding $\\eta$-weak-pseudo-Hermitian Scarf II- and\nperiodic-type-isospectral models (PT -symmetric and non-PT -symmetric) are\ngiven as products of the reference-target map.",
"arxiv_id": "quant-ph/0607030",
"authors": [
"Omar Mustafa",
"S. Habib Mazharimousavi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-007-9470-7",
"journal_ref": "Int. J. Theor. Phys. 47, 446 (2008)",
"title": "First-order intertwining operators with position dependent mass and $\\eta$- weak-psuedo-Hermiticity generators",
"url": "https://arxiv.org/abs/quant-ph/0607030"
},
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