dorsal/arxiv
View SchemaMixing Quantum and Classical Mechanics
| Authors | Oleg V. Prezhdo, Vladimir V. Kisil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610016 |
| URL | https://arxiv.org/abs/quant-ph/9610016 |
| DOI | 10.1103/PhysRevA.56.162 |
| Journal | Phys.Rev. A56 (1997) 162-176 |
Abstract
Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is antisymmetric and satisfies the Jacobi identity, and, therefore, leads to a natural description of interaction between quantum and classical degrees of freedom. We apply the formalism to coupled quantum and classical oscillators and show how various approximations, such as the mean-field and the multiconfiguration mean-field approaches, can be obtained from the quantum-classical equation of motion.
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"abstract": "Using a group theoretical approach we derive an equation of motion for a\nmixed quantum-classical system. The quantum-classical bracket entering the\nequation preserves the Lie algebra structure of quantum and classical\nmechanics: The bracket is antisymmetric and satisfies the Jacobi identity, and,\ntherefore, leads to a natural description of interaction between quantum and\nclassical degrees of freedom. We apply the formalism to coupled quantum and\nclassical oscillators and show how various approximations, such as the\nmean-field and the multiconfiguration mean-field approaches, can be obtained\nfrom the quantum-classical equation of motion.",
"arxiv_id": "quant-ph/9610016",
"authors": [
"Oleg V. Prezhdo",
"Vladimir V. Kisil"
],
"categories": [
"quant-ph",
"funct-an",
"math.FA"
],
"doi": "10.1103/PhysRevA.56.162",
"journal_ref": "Phys.Rev. A56 (1997) 162-176",
"title": "Mixing Quantum and Classical Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9610016"
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