1996/10/11 by Oleg V. Prezhdo, Vladimir V. Kisil · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #funct-an #math.FA #quant-ph
paper · pdf · doi:10.1103/physreva.56.162
published as Phys.Rev. A56 (1997) 162-176 · 31 pages, LaTeX2e
arxiv created 1996/10/11 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.