The quantum evolution under the Pauli-Fierz Hamiltonian converges to the classical Newton-Maxwell equations as ħ → 0, with explicit error bounds for special initial states.
Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field
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Classical limit of the Pauli-Fierz dynamics
The quantum evolution under the Pauli-Fierz Hamiltonian converges to the classical Newton-Maxwell equations as ħ → 0, with explicit error bounds for special initial states.