Retardation long-range potentials between two helium atoms

Chen, Ming-Keh; Chung, Kwong T.

doi:10.1103/physreva.53.1439

Cited by 35 publications

(27 citation statements)

References 44 publications

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“…For V Breit , we computed only the first two constants C 4 and C 6 , obtaining À3:5322 Â 10 À5 a:u: and À1:894 Â 10 À4 a:u:, respectively. Our value of C 4 agrees within 0.06% with the literature value [31]. The contribution to C 6 from the interatomic part ofĤ 2 amounts to À1:387 Á 10 À4 a:u: and was computed using an appropriate generalization of the method employed for H 2 in Ref.…”

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confidence: 85%

Relativistic and Quantum Electrodynamics Effects in the Helium Pair Potential

et al. 2010

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The helium pair potential was computed including relativistic and quantum electrodynamics contributions as well as improved accuracy adiabatic ones. Accurate asymptotic expansions were used for large distances R. Error estimates show that the present potential is more accurate than any published to date. The computed dissociation energy and the average R for the (4)He(2) bound state are 1.62+/-0.03 mK and 47.1+/-0.5 A. These values can be compared with the measured ones: 1.1(-0.2)(+0.3) mK and 52+/-4 A [R. E. Grisenti, Phys. Rev. Lett. 85, 2284 (2000)].

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confidence: 85%

Relativistic and Quantum Electrodynamics Effects in the Helium Pair Potential

et al. 2010

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“…25 Chen (1995) [28] 800. 31 Chen and Chung (1996), B spline [46] 315.630 Chen and Chung (1996) [25,26]. The polarizabilities for the 2 3 S and 2 1 S states of 4 He are presented over a wavelength range from 318 nm to 2.5 μm.…”

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confidence: 99%

Magic wavelengths for the23S→21Stransition in helium

et al. 2014

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We have calculated ac polarizabilities of the 2 3 S and 2 1 S states of both 4 He and 3 He in the range 318 nm to 2.5 μm and determined the magic wavelengths at which these polarizabilities are equal for either isotope. The calculations, only based on available ab initio tables of level energies and Einstein A coefficients, do not require advanced theoretical techniques. The polarizability contribution of the continuum is calculated using a simple extrapolation beyond the ionization limit, yet the results agree to better than 1% with such advanced techniques. Several promising magic wavelengths are identified around 320 nm with sufficient accuracy to design an appropriate laser system. The extension of the calculations to 3 He is complicated due to the additional hyperfine structure, but we show that the magic wavelength candidates around 320 nm are predominantly shifted by the isotope shift.

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“…The functions f 2n (R) take into consideration for all separations the relativistic retardation of the dipole-dipole term as well as of the next higher dispersion terms with n = 3 − 5 [9][10][11]. The approximation f 2n (R) = 1 was used for the further n > 5.…”

mentioning

confidence: 99%

“…The f 2n (R) values given in [11] were interpolated using Lagrange's polynomial for 5 points and implemented for the potential after the fit. The retardation correction (i.e.…”

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confidence: 99%

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

2007

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To cite this version:Eckhard Vogel, Eckard Bich, Robert Hellmann. Ab initio potential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium. Molecular Physics, Taylor & Francis, 2007, 105 (23-24) A helium-helium interatomic potential energy curve determined from quantum-mechanical ab initio calculations and described with an analytical representation considering relativistic retardation effects (R. Hellmann, E. Bich, and E. Vogel, Mol. Phys. (submitted)) was used in the framework of the quantum-statistical mechanics and of the corresponding kinetic theory to calculate the most important thermophysical properties of helium governed by two-body and three-body interactions. The second pressure virial coefficient as well as the viscosity and thermal conductivity coefficients, the last two in the so-called limit of zero density, were calculated for 3 He and 4 He from 1 K to 10,000 K and the third pressure virial coefficient for 4 He from 20 K to 10,000 K. The transport property values can be applied as standard values for the complete temperature range of the calculations characterized by an uncertainty of ±0.02% for temperatures above 15 K. This uncertainty is superior to the best experimental measurements at ambient temperature.

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Retardation long-range potentials between two helium atoms

Cited by 35 publications

References 44 publications

Relativistic and Quantum Electrodynamics Effects in the Helium Pair Potential

Relativistic and Quantum Electrodynamics Effects in the Helium Pair Potential

Magic wavelengths for the23S→21Stransition in helium

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

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