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Quantum many-body dynamics in a Lagrangian frame: II. Geometric formulation of time-dependent density functional theory
We formulate equations of time-dependent density functional theory (TDDFT) in the comoving Lagrangian reference frame. The main advantage of the Lagrangian description of many-body dynamics is that in the comoving frame the current density vanishes, while the density of particles becomes independent of time. Therefore a comoving observer will see …