Abstract:This thesis investigates geometric approaches to quantum hydrodynamics (QHD) in order to develop applications in theoretical quantum chemistry.Based upon the momentum map geometric structure of QHD and the associated Lie-Poisson and Euler-Poincaré equations, alternative geometric approaches to the classical limit in QHD are presented. Firstly, a new regularised Lagrangian is introduced, allowing for singular solutions called 'Bohmions' for which the associated trajectory equations are finite-dimensional and de… Show more
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