50 citations · 79 across the 3 of their papers we have counts for
3 papers
math-ph2021★ 14 cited
Koopman wavefunctions and classical states in hybrid quantum-classical dynamics
François Gay-Balmaz, Cesare Tronci
We deal with the reversible dynamics of coupled quantum and classical systems. Based on a recent proposal by the authors, we exploit the theory of hybrid quantum-classical wavefunc…
nlin.SI2011★ 15 cited
Vlasov moment flows and geodesics on the Jacobi group
François Gay-Balmaz, Cesare Tronci
By using the moment algebra of the Vlasov kinetic equation, we characterize the integrable Bloch-Iserles system on symmetric matrices (arXiv:math-ph/0512093) as a geodesic flow on…
nlin.CD2009★ 50 cited
Reduction theory for symmetry breaking with applications to nematic systems
François Gay-Balmaz, Cesare Tronci
We formulate Euler-Poincaré and Lagrange-Poincaré equations for systems with broken symmetry. We specialize the general theory to present explicit equations of motion for nematic s…