Issue
EPL
Volume 78, Number 3, May 2007
Article Number 30001
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/78/30001
Published online 11 April 2007
EPL, 78 (2007) 30001
DOI: 10.1209/0295-5075/78/30001

Do we have a consistent non-adiabatic quantum-classical mechanics?

F. Agostini, S. Caprara and G. Ciccotti

Istituto Nazionale per la Fisica della Materia and Dipartimento di Fisica, Università di Roma "La Sapienza" - piazzale Aldo Moro 5, I-00185 Roma, Italy


received 15 January 2007; accepted in final form 13 March 2007; published May 2007
published online 11 April 2007

Abstract
Quantum-classical equations of motion satisfying Jacobi identity were recently proposed by V. V. KISIL (Europhys. Lett., 72 (2005) 873), generalizing the Heisenberg group formulation of quantum mechanics. In the attempt to provide a physical interpretation for the resulting quantum-classical dynamics, we have reconstructed and analyzed the derivation, finding that there is a suitable representation from which the purely classical nature of the supposedly quantum-classical equations of motion clearly emerges.

PACS
02.70.Ns - Molecular dynamics and particle methods .
03.65.Sq - Semiclassical theories and applications .
31.15.Qg - Molecular dynamics and other numerical methods.

© Europhysics Letters Association 2007