Geometry of nonadiabatic quantum hydrodynamics
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Publication:2321919
DOI10.1007/s10440-019-00257-1zbMath1421.35274arXiv1807.01031OpenAlexW3099873847MaRDI QIDQ2321919
Cesare Tronci, Michael S. Foskett, Darryl D. Holm
Publication date: 27 August 2019
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.01031
PDEs in connection with fluid mechanics (35Q35) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Molecular physics (81V55)
Related Items (16)
Dynamics of mixed quantum–classical spin systems * ⋮ Hybrid quantum-classical dynamics of pure-dephasing systems * ⋮ The bohmion method in nonadiabatic quantum hydrodynamics ⋮ Geometric analogy between quantum dynamics and curved space through quantum hydrodynamics ⋮ Lagrangian reduction and wave mean flow interaction ⋮ Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics ⋮ Hydrodynamics of the probability current in Schrödinger theory ⋮ Lagrangian trajectories and closure models in mixed quantum-classical dynamics ⋮ Madelung transform and probability densities in hybrid quantum–classical dynamics ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics ⋮ Stochastic variational formulations of fluid wave-current interaction ⋮ Momentum maps for mixed states in quantum and classical mechanics ⋮ Geometry of the Madelung transform ⋮ Evolution of hybrid quantum-classical wavefunctions ⋮ Koopman wavefunctions and classical states in hybrid quantum-classical dynamics ⋮ From quantum hydrodynamics to Koopman wavefunctions. I
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