dorsal/arxiv
View SchemaQuantum-classical correspondence via a deformed kinetic operator
| Authors | Ricardo A. Mosna, Ian P. Hamilton, Luigi Delle Site |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504124 |
| URL | https://arxiv.org/abs/quant-ph/0504124 |
| DOI | 10.1088/0305-4470/38/17/011 |
| Journal | J. Phys. A 38, 3869-3878 (2005) |
Abstract
We propose an approach to the quantum-classical correspondence based on a deformation of the momentum and kinetic operators of quantum mechanics. Making use of the factorization method, we construct classical versions of the momentum and kinetic operators which, in addition to the standard quantum expressions, contain terms that are functionals of the N-particle density. We show that this implementation of the quantum-classical correspondence is related to Witten's deformation of the exterior derivative and Laplacian, introduced in the context of supersymmetric quantum mechanics. The corresponding deformed action is also shown to be related to the Fisher information. Finally, we briefly consider the possible relevance of our approach to the construction of kinetic-energy density functionals.
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"abstract": "We propose an approach to the quantum-classical correspondence based on a\ndeformation of the momentum and kinetic operators of quantum mechanics. Making\nuse of the factorization method, we construct classical versions of the\nmomentum and kinetic operators which, in addition to the standard quantum\nexpressions, contain terms that are functionals of the N-particle density. We\nshow that this implementation of the quantum-classical correspondence is\nrelated to Witten\u0027s deformation of the exterior derivative and Laplacian,\nintroduced in the context of supersymmetric quantum mechanics. The\ncorresponding deformed action is also shown to be related to the Fisher\ninformation. Finally, we briefly consider the possible relevance of our\napproach to the construction of kinetic-energy density functionals.",
"arxiv_id": "quant-ph/0504124",
"authors": [
"Ricardo A. Mosna",
"Ian P. Hamilton",
"Luigi Delle Site"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/38/17/011",
"journal_ref": "J. Phys. A 38, 3869-3878 (2005)",
"title": "Quantum-classical correspondence via a deformed kinetic operator",
"url": "https://arxiv.org/abs/quant-ph/0504124"
},
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