非相对论性QED中氢原子哈密顿量基态能量的非解析性
Non-analyticity of the groud state energy of the Hamiltonian for Hydrogen atom in non-relativistic QED
摘要：
我们推导出无自旋电子耦合到量子化辐射场的平移不变Pauli-Fierz哈密顿量的精细结构常数$α$的四阶基态能量。由此得到了核库仑场中单个粒子的Pauli-Fierz算符的基态能量的非解析性。
英文摘要：
We derive the ground state energy up to the fourth order in the fine structure constant $α$ for the translation invariant Pauli-Fierz Hamiltonian for a spinless electron coupled to the quantized radiation field. As a consequence, we obtain the non-analyticity of the ground state energy of the Pauli-Fierz operator for a single particle in the Coulomb field of a nucleus.
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