A unified framework for functional theories of quantum systems is introduced via scopes of observables and fixed Hamiltonian parts, enabling general proofs of universal functionals, convexity, differentiability, representability, and Hohenberg-Kohn-type uniqueness across variants.
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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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Unified Framework for Functional Theories of Quantum Systems
A unified framework for functional theories of quantum systems is introduced via scopes of observables and fixed Hamiltonian parts, enabling general proofs of universal functionals, convexity, differentiability, representability, and Hohenberg-Kohn-type uniqueness across variants.
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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.