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arXiv 1302.2829math-phmath.MP
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量子化辐射场耦合原子共振态的存在性与构造

Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field

Volker Bach, Miguel Ballesteros, Alessandro Pizzo

摘要:

对于非相对论性原子,这是最低限度地耦合到量子化的辐射场,从激发原子本征态出现的共振构造的迭代方案的启发\cite{Pizzo2003}和\cite{BachFrohlichPizzo2006}。该方案连续地去除了动量空间中的红外截止,并产生了一个收敛算法,使我们能够计算共振本征值和本征态,在feinstructure常数$α\sim 1/137$的任意阶,因此是一种替代方法证明类似的结果在\cite{Sigal2010}。

英文摘要:

For a nonrelativistic atom, which is minimally coupled to the quantized radiation field, resonances emerging from excited atomic eigenstates are constructed by an iteration scheme inspired by \cite{Pizzo2003} and \cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cut off in momentum space and yields a convergent algorithm enabling us to calculate the resonance eigenvalues and eigenstates, to arbitrary order in the feinstructure constant $α\sim 1/137$, and is thus an alternative method of proof of a similar result obtained in \cite{Sigal2010}.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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