dorsal/arxiv
View SchemaOrdering ambiguity revisited via position dependent mass pseudo-momentum operators
| Authors | Omar Mustafa, S. Habib Mazharimousavi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607158 |
| URL | https://arxiv.org/abs/quant-ph/0607158 |
| DOI | 10.1007/s10773-006-9311-0 |
| Journal | Int. J. Theor. Phys. 46, 1786 (2007) |
Abstract
Ordering ambiguity associated with the von Roos position dependent mass (PDM) Hamiltonian is considered. An affine locally scaled first order differential introduced, in Eq.(9), as a PDM-pseudo-momentum operator. Upon intertwining our Hamiltonian, which is the sum of the square of this operator and the potential function, with the von Roos d-dimensional PDM-Hamiltonian, we observed that the so-called von Roos ambiguity parameters are strictly determined, but not necessarily unique. Our new ambiguity parameters' setting is subjected to Dutra's and Almeida's [11] reliability test and classified as good ordering.
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"abstract": "Ordering ambiguity associated with the von Roos position dependent mass (PDM)\nHamiltonian is considered. An affine locally scaled first order differential\nintroduced, in Eq.(9), as a PDM-pseudo-momentum operator. Upon intertwining our\nHamiltonian, which is the sum of the square of this operator and the potential\nfunction, with the von Roos d-dimensional PDM-Hamiltonian, we observed that the\nso-called von Roos ambiguity parameters are strictly determined, but not\nnecessarily unique. Our new ambiguity parameters\u0027 setting is subjected to\nDutra\u0027s and Almeida\u0027s [11] reliability test and classified as good ordering.",
"arxiv_id": "quant-ph/0607158",
"authors": [
"Omar Mustafa",
"S. Habib Mazharimousavi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-006-9311-0",
"journal_ref": "Int. J. Theor. Phys. 46, 1786 (2007)",
"title": "Ordering ambiguity revisited via position dependent mass pseudo-momentum operators",
"url": "https://arxiv.org/abs/quant-ph/0607158"
},
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