 96488 Oleg V. Prezhdo and Vladimir V. Kisil
 Mixing Quantum and Classical Mechanics
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Oct 11, 96

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Abstract. Using a group theoretical approach we derive
an equation of motion for a mixed quantumclassical system.
The quantumclassical 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 meanfield
and the multiconfiguration meanfield approaches, can be obtained from the
quantumclassical equation of motion.
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