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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Introduces a universal dimensionless instability parameter based on quantum-state evolution speed versus spectral-gap protection, plus a self-limitation theorem for nonlinear regulators in driven quantum systems.
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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 Instability and Self-Limitation in Driven Quantum Systems
Introduces a universal dimensionless instability parameter based on quantum-state evolution speed versus spectral-gap protection, plus a self-limitation theorem for nonlinear regulators in driven quantum systems.