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Evolution of hybrid quantum-classical wavefunctions
François Gay-Balmaz, Cesare Tronci
A gauge-invariant wave equation for the dynamics of hybrid quantum-classical systems is formulated by combining the variational setting of Lagrangian paths in continuum theories wi…
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…
Koopman wavefunctions and Clebsch variables in Vlasov-Maxwell kinetic theory
Cesare Tronci, Ilon Joseph
Motivated by recent discussions on the possible role of quantum computation in plasma simulations, here we present different approaches to Koopman's Hilbert-space formulation of cl…
From quantum hydrodynamics to Koopman wavefunctions I
François Gay-Balmaz, Cesare Tronci
Based on Koopman's theory of classical wavefunctions in phase space, we present the Koopman-van Hove (KvH) formulation of classical mechanics as well as some of its properties. In…
From quantum hydrodynamics to Koopman wavefunctions II
Cesare Tronci, François Gay-Balmaz
Based on the Koopman-van Hove (KvH) formulation of classical mechanics introduced in Part I, we formulate a Hamiltonian model for hybrid quantum-classical systems. This is obtained…