Influence of retardation on the higher-order multipole dispersion contributions to the helium dimer potential

Luo, Fei; Kim, Geunsik; Giese, Clayton F.; Gentry, W. Ronald

doi:10.1063/1.465516

Cited by 21 publications

(6 citation statements)

References 8 publications

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“…In many applications it is necessary to relax the electric dipole approximation and include the effects of higher‐multipole moment terms. Well known cases where electric quadrupole and electric octupole contributions need to be accounted for to improve the accuracy of the interaction energy include the helium dimer and pairs of alkali metal atoms . To correctly treat discriminatory dispersion forces that manifest in interactions between chiral molecules, the effects of magnetic dipole and electric quadrupole couplings must be accounted for.…”

Section: Effects From Fluctuations Of the Vacuum Electromagnetic Fieldmentioning

confidence: 99%

Quantum electrodynamics effects in atoms and molecules

Salam

2014

WIREs Comput Mol Sci

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Quantum electrodynamics (QED) is the fundamental theory describing the interaction of electrons and photons. Its characteristic feature is that both radiation and matter are treated quantum mechanically. For almost all atomic and molecular systems, which contain bound electrons moving at velocities considerably less than that of light, a non-relativistic formulation of QED is appropriate. Termed molecular QED, its Hamiltonian operator can be constructed by starting from the classical Lagrangian function for the interaction of a charged particle with a radiation field on applying the variational calculus and carrying out the canonical quantization procedure. It is shown how the minimal-coupling Lagrangian can be transformed to the chemically advantageous multipolar Hamiltonian in which matter couples to radiation directly through molecular multipole moments, with the ensuing interaction strictly causal. Applications include evaluation of transition rates for one-and two-photon absorption, spontaneous and stimulated emission, and signal intensities for second-and third-harmonic generation. Fundamental intermolecular interactions examined include resonance energy transfer, the van der Waals dispersion potential, and the change in energy shift of the pair induced by intense external radiation. The non-relativistic contribution to the Lamb shift is also extracted. It is shown how a number of the above mentioned processes may be attributed to fluctuations of the vacuum electromagnetic field, which possesses zero-point energy, a signature QED effect that has widespread implications for the structural and dynamical properties of atoms and molecules.

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Section: Effects From Fluctuations Of the Vacuum Electromagnetic Fieldmentioning

confidence: 99%

Quantum electrodynamics effects in atoms and molecules

Salam

2014

WIREs Comput Mol Sci

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“…The first several electric multipole results of Au and Feinberg (1972) were used for applications to calculations of the binding energy of the helium dimer by Luo et al (1993) and by Chen and Chung (1996) and for applications to ultracold atom scattering by Marinescu et al (1994), who evaluated the expressions for a pair of hydrogen atoms and for a pair of like alkali-metal atoms.…”

Section: Two Atomsmentioning

confidence: 99%

Casimir Effects in Atomic, Molecular, and Optical Physics

Babb

2010

Advances in Atomic, Molecular, and Optical Physics

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The long-range interaction between two atoms and the long-range interaction between an ion and an electron are compared at small and large intersystem separations. The vacuum dressed atom formalism is applied and found to provide a framework for interpretation of the similarities between the two cases. The van der Waals forces or Casimir-Polder potentials are used to obtain insight into relativistic and higher multipolar terms.

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“…Other systems in which electric quadrupole and octupole moments play a significant role include the dispersion force between two hydrogen atoms, two helium atoms, and alkali–metal pairs. Previous computations 1, 5, 13 of the van der Waals potential in these latter systems have shown that including higher multipole moments, as well as the effect of retardation (which is crucial at large separations), can lead to a significant lowering of the binding energy—by up to 10% in the case of the helium dimer. For intermolecular interactions between chiral molecules 2, 7, 10, however, it is necessary to include magnetic dipole interaction terms in the coupling Hamiltonian in addition to electric dipole ones for a proper description.…”

Section: Introductionmentioning

confidence: 99%

Generalized expressions for resonant excitation transfer and retarded dispersion energy shifts obtained using multipolar quantum electrodynamics

Salam

2005

Int J of Quantum Chemistry

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ABSTRACT:Generalized expressions are presented within the framework of molecular quantum electrodynamics for intermolecular interactions arising from the exchange of one or two virtual photons. When one species is excited while the other is in the ground state, the former process corresponds to resonant transfer of excitation. The rate of energy exchange for molecules possessing electric multipole moments of arbitrary order is given in terms of the resonant multipole-multipole coupling tensor. This latter quantity is then used in the calculation of the generalized dispersion energy shift between a pair of ground-state electric multipole polarizable molecules of arbitrary order via the interaction of induced multipole moments at each center. The results obtained offer an efficient alternative means of calculating higher multipole contributions to intermolecular processes.

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Influence of retardation on the higher-order multipole dispersion contributions to the helium dimer potential

Cited by 21 publications

References 8 publications

Quantum electrodynamics effects in atoms and molecules

Quantum electrodynamics effects in atoms and molecules

Casimir Effects in Atomic, Molecular, and Optical Physics

Generalized expressions for resonant excitation transfer and retarded dispersion energy shifts obtained using multipolar quantum electrodynamics

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