dorsal/arxiv
View SchemaLow Momentum Classical Mechanics with Effective Quantum Potentials
| Authors | Fernando Haas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503030 |
| URL | https://arxiv.org/abs/quant-ph/0503030 |
| DOI | 10.1103/PhysRevB.71.235111 |
Abstract
A recently introduced effective quantum potential theory is studied in a low momentum region of phase space. This low momentum approximation is used to show that the new effective quantum potential induces a space-dependent mass and a smoothed potential both of them constructed from the classical potential. The exact solution of the approximated theory in one spatial dimension is found. The concept of effective transmission and reflection coefficients for effective quantum potentials is proposed and discussed in comparison with an analogous quantum statistical mixture problem. The results are applied to the case of a square barrier.
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"abstract": "A recently introduced effective quantum potential theory is studied in a low\nmomentum region of phase space. This low momentum approximation is used to show\nthat the new effective quantum potential induces a space-dependent mass and a\nsmoothed potential both of them constructed from the classical potential. The\nexact solution of the approximated theory in one spatial dimension is found.\nThe concept of effective transmission and reflection coefficients for effective\nquantum potentials is proposed and discussed in comparison with an analogous\nquantum statistical mixture problem. The results are applied to the case of a\nsquare barrier.",
"arxiv_id": "quant-ph/0503030",
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"Fernando Haas"
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"doi": "10.1103/PhysRevB.71.235111",
"title": "Low Momentum Classical Mechanics with Effective Quantum Potentials",
"url": "https://arxiv.org/abs/quant-ph/0503030"
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