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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cond-mat.mtrl-sci 2years
2026 2verdicts
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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.
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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.