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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Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.
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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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Super Landau Model and Howe Duality: From Supermonopole Harmonics to Quantum Matrix Geometry
Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.