Scale dependence of the retarded van der Waals potential

Tadahiro Miyao; Herbert Spohn

doi:10.1063/1.4745911

Scale dependence of the retarded van der Waals potential

Tadahiro Miyao, Herbert Spohn

TUM Emeriti of Excellence

Hokkaido University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit α → 0 together with the relative distance between the atoms increasing as α-γR, γ > 0. In particular we determine explicitly the crossover function from the R ^-6 van der Waals potential to the R-7 retarded van der Waals potential, which takes place at scale α-2R.

Original language	English
Article number	095215
Journal	Journal of Mathematical Physics
Volume	53
Issue number	9
DOIs	https://doi.org/10.1063/1.4745911
State	Published - 28 Sep 2012

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abstract = "We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit α → 0 together with the relative distance between the atoms increasing as α-γR, γ > 0. In particular we determine explicitly the crossover function from the R -6 van der Waals potential to the R-7 retarded van der Waals potential, which takes place at scale α-2R.",

author = "Tadahiro Miyao and Herbert Spohn",

note = "Funding Information: We thank Stefan Teufel for raising the question on scale dependence, Mario Koppen for discussions on the asymptotic analysis, and Alessandro Pizzo for pointing at Nelson's theorem on resolvent convergence. T.M. was supported by KAKENHI (20554421).",

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N2 - We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit α → 0 together with the relative distance between the atoms increasing as α-γR, γ > 0. In particular we determine explicitly the crossover function from the R -6 van der Waals potential to the R-7 retarded van der Waals potential, which takes place at scale α-2R.

AB - We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit α → 0 together with the relative distance between the atoms increasing as α-γR, γ > 0. In particular we determine explicitly the crossover function from the R -6 van der Waals potential to the R-7 retarded van der Waals potential, which takes place at scale α-2R.

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Scale dependence of the retarded van der Waals potential

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