The bohmion method in nonadiabatic quantum hydrodynamics

DOI10.1088/1751-8121/ac2ae8OpenAlexW3151043577MaRDI QIDQ5051655

Cesare Tronci, J. I. Rawlinson, Darryl D. Holm

Publication date: 18 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03569

zbMATH Keywords

methodgeometric mechanicsnonadiabaticBohmianBohmionquantum nuclear dynamicsTully models

Mathematics Subject Classification ID

Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Molecular physics (81V55) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (5)

Dynamics of mixed quantum–classical spin systems ^* ⋮ Lagrangian reduction and wave mean flow interaction ⋮ Lagrangian trajectories and closure models in mixed quantum-classical dynamics ⋮ Evolution of hybrid quantum-classical wavefunctions ⋮ Koopman wavefunctions and classical states in hybrid quantum-classical dynamics

Cites Work

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• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Do we have a consistent non-adiabatic quantum-classical mechanics?
• Geometry and symmetry of quantum and classical-quantum variational principles
• Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
• Madelung transform and probability densities in hybrid quantum–classical dynamics
• Koopman wavefunctions and classical–quantum correlation dynamics
• Geometric Mechanics

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