- 96-488 Oleg V. Prezhdo and Vladimir V. Kisil
- Mixing Quantum and Classical Mechanics
Oct 11, 96
(auto. generated ps),
of related papers
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.