Dispersion forces between oscillators: a semi-classical treatment

Mahanty, J.; Ninham, Barry W.

doi:10.1088/0305-4470/5/10/009

Cited by 35 publications

(40 citation statements)

References 4 publications

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“…in full agreement with previous calculations of the vdW interaction [4][5][6]. The Green tensor G V (r 1 , r 2 , iξ) is the one for the material system that was present before the introduction of the additional atoms.…”

Section: Casimir-polder and Van Der Waals Forcesupporting

confidence: 87%

Unified approach to dispersion forces within macroscopic QED

Raabe

Welsch

2006

Hyperfine Interact

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We outline our Lorentz-force approach to the description of dispersion forces (see also C. Raabe and D.-G. Welsch, Phys. Rev. A 71:013814, 2005; Phys. Rev. A 73:063822, 2006). It is based on the ground-state Lorentz force density that acts on the charge and current densities attributed to the polarization and magnetization in linearly, locally, and causally responding media. Application of the theory to dielectric systems yields very general formulas for the Casimir force on dielectric bodies or parts of them. It is shown that well-known expressions for the CasimirPolder force on a single atom and for the van der Waals force between atoms are also contained in our formula. The theory may thus be viewed as providing a unified basis for the calculation of dispersion forces from a macroscopic point of view.

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Section: Casimir-polder and Van Der Waals Forcesupporting

confidence: 87%

Unified approach to dispersion forces within macroscopic QED

Raabe

Welsch

2006

Hyperfine Interact

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“…The Casimir-Polder interaction between two polarizable particles in a liquid is [3,[8][9][10][11][12] …”

Section: Long-range Casimir-polder Energy Between Finite-size Polmentioning

confidence: 99%

“…The excess polarizability consistent with this definition of the Green's function elements is given in Sec. V. Except when the molecules come so close that their electron clouds start to overlap, one can ignore finite-size effects, i.e., a → 0, and then find [11] …”

Section: Long-range Casimir-polder Energy Between Finite-size Polmentioning

confidence: 99%

Intermolecular Casimir-Polder forces in water and near surfaces

et al. 2014

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The Casimir-Polder force is an important long-range interaction involved in adsorption and desorption of molecules in fluids. We explore Casimir-Polder interactions between methane molecules in water, and between a molecule in water near SiO 2 and hexane surfaces. Inclusion of the finite molecular size in the expression for the Casimir-Polder energy leads to estimates of the dispersion contribution to the binding energies between molecules and between one molecule and a planar surface.

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“…The linearity of the coupled system allows for an exact solution of its dynamics and even if the harmonic oscillator may be in some cases only a poor description of an atom [56], it is a good representation of a nanoparticle (the resonance frequency being the particle plasmon frequency). Generally, this approach gives a first qualitative indication for the physics of the interaction [57][58][59][60][61].…”

Section: Non-perturbative Level Shiftmentioning

confidence: 99%

Fluctuation-Induced Forces Between Atoms and Surfaces: The Casimir–Polder Interaction

Intravaia¹,

Henkel²,

Antezza³

2011

Lecture Notes in Physics

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Electromagnetic fluctuation-induced forces between atoms and surfaces are generally known as Casimir-Polder interactions. The exact knowledge of these forces is rapidly becoming important in modern experimental set-ups and for technological applications. Recent theoretical and experimental investigations have shown that such an interaction is tunable in strength and sign, opening new perspectives to investigate aspects of quantum field theory and condensed-matter physics. In this Chapter we review the theory of fluctuation-induced interactions between atoms and a surface, paying particular attention to the physical characterization of the system. We also survey some recent developments concerning the role of temperature, situations out of thermal equilibrium, and measurements involving ultra-cold atoms.

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Dispersion forces between oscillators: a semi-classical treatment

Cited by 35 publications

References 4 publications

Unified approach to dispersion forces within macroscopic QED

Unified approach to dispersion forces within macroscopic QED

Intermolecular Casimir-Polder forces in water and near surfaces

Fluctuation-Induced Forces Between Atoms and Surfaces: The Casimir–Polder Interaction

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