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Unified Framework for Functional Theories of Quantum Systems

math-ph · 2026-06-04 · unverdicted · novelty 7.0

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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Showing 2 of 2 citing papers.

  • Unified Framework for Functional Theories of Quantum Systems math-ph · 2026-06-04 · unverdicted · none · ref 64

    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.

  • Moreau-Yosida-based Kohn-Sham Inversion for Periodic Systems math.NA · 2026-06-17 · unverdicted · none · ref 111

    Presents a Moreau-Yosida regularized inversion framework in periodic Sobolev spaces to recover Kohn-Sham exchange-correlation potentials via proximal mapping and limiting procedure.