Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics

DOI10.1007/978-3-031-38299-4_25arXiv2305.18972OpenAlexW4384918154MaRDI QIDQ6179003

Paul Bergold, 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/2305.18972

zbMATH Keywords

variational principlemixed quantum-classical dynamicsBorn-Oppenheimer approximation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55) Real analysis on time scales or measure chains (26E70) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Evolution of hybrid quantum-classical wavefunctions
• Geometry of nonadiabatic quantum hydrodynamics
• Dynamics of mixed quantum–classical spin systems ^*
• Computing quantum dynamics in the semiclassical regime

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