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Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation

机译:定量辐射耦合问题的解析扰动理论和归一化分析

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For a large class of quantum mechanical models of matter and radiation we develop an analytic perturbation theory for non-degenerate ground states. This theory is applicable, for example, to models of matter with static nuclei and non-relativistic electrons that are coupled to the UV-cutoff quantized radiation field in the dipole approximation. If the lowest point of the energy spectrum is a non-degenerate eigenvalue of the Hamiltonian, we show that this eigenvalue is an analytic function of the nuclear coordinates and of alpha(3/2), alpha being the fine structure constant. A suitably chosen ground state vector depends analytically on alpha(3/2) and it is twice continuously differentiable with respect to the nuclear coordinates.
机译:对于物质和辐射的大量量子力学模型,我们开发了非退化基态的解析扰动理论。例如,该理论适用于具有静态核和非相对论性电子的物质模型,这些模型在偶极近似中耦合到UV截止量化辐射场。如果能谱的最低点是哈密顿量的非简并特征值,则表明该特征值是核坐标和α(3/2)的解析函数,α是精细结构常数。适当选择的基态矢量在分析上取决于alpha(3/2),并且相对于核坐标连续两次可微分。

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