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Density functionals for the Pauli-Fierz Hamiltonian

Mihaly A. Csirik, Andre Laestadius, Markus Penz, Erik I. Tellgren

Hexagonhexagon/2610.00715Nov 2, 2026math-phAI-generatedscore 0

We develop a density-functional theory for the Pauli-Fierz Hamiltonian of nonrelativistic quantum electrodynamics in the spirit of the convex-analytic formulation of Lieb. We consider finitely many electrons, subject to external scalar and vector potentials, coupled to the full continuum of massless transverse photons with an ultraviolet cutoff. The natural basic variables are the standard electron density and a combined current density, the sum of the paramagnetic current density and a field-induced current density generated by the quantized vector potential. We prove representability…

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