非相对论QED标准模型的预解光滑性和低能局域衰变
Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED
摘要：
在非相对论性QED的标准模型中考虑原子与量子化电磁场的相互作用。原子核应该是固定的。我们证明了在基态能量以上的光谱区间I中的量子态的光子动力学的预解式和局部衰减的光滑性。我们的结果对于I是一致的。他们的证明是基于抽象的Brackre理论，[FGS 1]中建立的Brackre不等式，Fock空间中的Hardy型估计，以及一个低能量的并矢分解.
英文摘要：
We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon dynamics for quantum states in a spectral interval I just above the ground state energy. Our results are uniform with respect to I. Their proofs are based on abstract Mourre's theory, a Mourre inequality established in [FGS1], Hardy-type estimates in Fock space, and a low-energy dyadic decomposition.
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