Mixing Quantum and Classical Mechanics

Oleg V. Prezhdo; Vladimir V. Kisil

doi:10.1103/physreva.56.162

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Mixing Quantum and Classical Mechanics

Oleg V. Prezhdo·Vladimir V. Kisil

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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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BibTeX RIS

Oleg V. Prezhdo, Vladimir V. Kisil. 1996-10-11. Mixing Quantum and Classical Mechanics. https://doi.org/10.1103/physreva.56.162

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