20 citations · 22 across the 3 of their papers we have counts for
3 papers
math-ph2020★ 1 cited
Geometry of quantum hydrodynamics in theoretical chemistry
Michael S. Foskett
This thesis investigates geometric approaches to quantum hydrodynamics (QHD) in order to develop applications in theoretical quantum chemistry. Based upon the momentum map geometri…
math-ph2020★ 1 cited
Holonomy and vortex structures in quantum hydrodynamics
Michael S. Foskett, Cesare Tronci
We consider a new geometric approach to Madelung's quantum hydrodynamics (QHD) based on the theory of gauge connections. In particular, our treatment comprises a constant curvature…
math-ph2018★ 20 cited
Geometry of nonadiabatic quantum hydrodynamics
Michael S. Foskett, Darryl D. Holm, Cesare Tronci
The Hamiltonian action of a Lie group on a symplectic manifold induces a momentum map generalizing Noether's conserved quantity occurring in the case of a symmetry group. Then, whe…