dorsal/arxiv
View SchemaThe Quantum Newton's Law
| Authors | A. Bouda, T. Djama |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103071 |
| URL | https://arxiv.org/abs/quant-ph/0103071 |
| DOI | 10.1016/S0375-9601(01)00312-7 |
| Journal | Phys.Lett. A285 (2001) 27-33 |
Abstract
Using the quantum Hamilton-Jacobi equation within the framework of the equivalence postulate, we construct a Lagrangian of a quantum system in one dimension and derive a third order equation of motion representing a first integral of the quantum Newton's law. We then integrate this equation in the free particle case and compare our results to those of Floydian trajectories. Finally, we propose a quantum version of Jacobi's theorem.
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"abstract": "Using the quantum Hamilton-Jacobi equation within the framework of the\nequivalence postulate, we construct a Lagrangian of a quantum system in one\ndimension and derive a third order equation of motion representing a first\nintegral of the quantum Newton\u0027s law. We then integrate this equation in the\nfree particle case and compare our results to those of Floydian trajectories.\nFinally, we propose a quantum version of Jacobi\u0027s theorem.",
"arxiv_id": "quant-ph/0103071",
"authors": [
"A. Bouda",
"T. Djama"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1016/S0375-9601(01)00312-7",
"journal_ref": "Phys.Lett. A285 (2001) 27-33",
"title": "The Quantum Newton\u0027s Law",
"url": "https://arxiv.org/abs/quant-ph/0103071"
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