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arXiv · 2203.16368

Derivation of the Maxwell-Schr\"odinger Equations: A note on the infrared sector of the radiation field

Marco Falconi·Nikolai Leopold
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Abstract

We slightly extend prior results about the derivation of the Maxwell-Schr\"odinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the findings from [SIAM J. Math. Anal. 52(5), 4900-4936 (2020)] about the coherence of the quantized electromagnetic field also hold for soft photons with small energies. This is achieved with the help of an estimate from [arXiv:2202.05015] which proves that the domain of the number of photon operator is invariant during the time evolution generated by the Pauli-Fierz Hamiltonian.

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Marco Falconi, Nikolai Leopold. 2022-03-30. Derivation of the Maxwell-Schr\"odinger Equations: A note on the infrared sector of the radiation field. https://arxiv.org/abs/2203.16368

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