Lagrangian trajectories and closure models in mixed quantum-classical dynamics

DOI10.1007/978-3-031-38299-4_31arXiv2303.01975OpenAlexW4385022044MaRDI QIDQ6179013

François Gay-Balmaz, Cesare Tronci

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01975

zbMATH Keywords

group actionHamilton's variational principlemixed quantum-classical dynamicsLagrangian trajectoryKoopman wavefunction

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Lagrange's equations (70H03) Group actions on combinatorial structures (05E18) Casimir effect in quantum field theory (81T55) Density (toughness, etc.) (05C42) Uncertainty relations, also entropic (81S07) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• Evolution of hybrid quantum-classical wavefunctions
• Koopman wavefunctions and classical states in hybrid quantum-classical dynamics
• Geometry of nonadiabatic quantum hydrodynamics
• The bohmion method in nonadiabatic quantum hydrodynamics
• Koopman wavefunctions and classical–quantum correlation dynamics

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