Quantum electrodynamics of equilibrium systems: A rigorous Maxwell-regularized functional-theoretic formulation

arXiv:2609.18327 · cond-mat.mtrl-sci, physics.chem-ph, quant-ph · Submitted 2026-09-16 · Read on arXiv

cond-mat.mtrl-sci, physics.chem-ph, quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Terminology

• Hilbert Space — 23× in this paper · explained in 2 episodes
• Regularization — 20× in this paper · explained in 3 episodes
• Quantum Physics — 6× in this paper · explained in 11 episodes
• Ab Initio — 4× in this paper · explained in 1 episode
• Degeneracy — 3× in this paper · explained in 3 episodes
• Quantization — 3× in this paper · explained in 12 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Artificial Intelligence (AI) — 1× in this paper · explained in 2 episodes
• Cluster of Excellence Advanced Imaging of Matter — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Random Phase Approximation (RPA) — 1× in this paper · explained in 2 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Semi-Local Exchange-Correlation Approximations in Density Functional Theory
• Moreau-Yosida-based Kohn-Sham Inversion for Periodic Systems
• Ground-State Quantum-Electrodynamical Density-Functional Theory
• A Note on Linear Elliptic Systems on $\R^d$
• Multipole splats for optimized and inverted effective potentials
• Va\u{i}nberg--Br\`{e}gman relative entropy and quasinonexpansive operators

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