论文标题
Maxwell-Schrödinger方程的推导:关于辐射场红外部门的注释
Derivation of the Maxwell-Schrödinger Equations: A note on the infrared sector of the radiation field
论文作者
论文摘要
我们略微扩展了有关从玻色旋Pauli-Fierz Hamiltonian推导的麦克斯韦 - 施罗丁方程的先前结果。更具体地说,我们证明了[Siam J. Math。肛门。 52(5),4900-4936(2020)]关于量化电磁场的相干性也适用于具有较小能量的软光子。这是在[Arxiv:2202.05015]的估计中实现的,该估计证明了Pauli-Fierz Hamiltonian产生的时间演化期间光子运算符数量的域是不变的。
We slightly extend prior results about the derivation of the Maxwell-Schrödinger 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.