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arXiv 0901.3678math-phmath.MP
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推迟的范德华势--再论

The retarded van der Waals potential - revisited

Tadahiro Miyao, Herbert Spohn

摘要:

推迟的范德华势,首先由Casimir和Polder得到,通常是在非相对论QED的基础上计算的。哈密顿量描述了两个无限重的原子核,电荷$e$,由距离$R$和两个无自旋的电子,电荷$-e$,非相对论耦合到量子化辐射场。Casimir和Polder使用偶极近似和麦克斯韦场的小耦合。我们在这里使用完整的哈密顿量,并确定了领先的$-R^{-7}$潜力,这是有效的所有$e$的渐近强度。我们的计算是基于路径积分表示和扩展在$1/R$,而不是在$e$。

英文摘要:

The retarded van-der-Waals potential, as first obtained by Casimir and Polder, is usually computed on the basis of nonrelativistic QED. The hamiltonian describes two infinitely heavy nuclei, charge $e$, separated by a distance $R$ and two spinless electrons, charge $-e$, nonrelativistically coupled to the quantized radiation field. Casimir and Polder use the dipole approximation and small coupling to the Maxwell field. We employ here the full hamiltonian and determine the asymptotic strength of the leading $-R^{-7}$ potential, which is valid for all $e$. Our computation is based on a path integral representation and expands in $1/R$, rather than in $e$.

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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