Geometric TDDFT reformulates the theory on the manifold of fixed-density states, producing a hydrodynamics equation for orbital-free TDDFT and a non-local operator for the Kohn-Sham version.
Penz \ and\ author R
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A geometric construction on the quantum state manifold produces an alternative constrained Schrödinger dynamics that yields new Kohn-Sham schemes for TDDFT on finite lattices.
Moreau-Yosida regularization supplies a convex-analysis tool that reformulates density-functional theory, defines Kohn-Sham systems rigorously, and connects to field theories through topology.
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Geometric Time-Dependent Density Functional Theory
Geometric TDDFT reformulates the theory on the manifold of fixed-density states, producing a hydrodynamics equation for orbital-free TDDFT and a non-local operator for the Kohn-Sham version.
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Geometric theory of constrained Schr\"odinger dynamics with application to time-dependent density-functional theory on a finite lattice
A geometric construction on the quantum state manifold produces an alternative constrained Schrödinger dynamics that yields new Kohn-Sham schemes for TDDFT on finite lattices.
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Perspective on Moreau-Yosida Regularization in Density-Functional Theory
Moreau-Yosida regularization supplies a convex-analysis tool that reformulates density-functional theory, defines Kohn-Sham systems rigorously, and connects to field theories through topology.