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.
The Classical Field Limit of Scattering Theory for Non-Relativistic Many-Boson Sys- tems. I
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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.