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A retarded coupling approach to intermolecular interactions

L C Dávila Romero1 and D L Andrews

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A wide range of physical phenomena such as optical binding and resonance energy transfer involve electronic coupling between adjacent molecules. A quantum electrodynamical description of these intermolecular interactions reveals the presence of retardation effects. The clarity of the procedure associated with the construction of the quantum amplitudes and the precision of the ensuing results for observable energies and rates are widely acknowledged. However, the length and complexity of the derivations involved in such quantum electrodynamical descriptions increase rapidly with the order of the process under study. Whether through the use of time-ordering approaches, or the more expedient state-sequence method, time-consuming calculations cannot usually be bypassed. A simple and succinct method is now presented, which provides for a direct and still entirely rigorous determination of the quantum electrodynamical amplitudes for processes of arbitrarily high order. Using the approach, new results for optical binding in two- and three-particle systems are secured and discussed.


PACS

33.80.-b Photon interactions with molecules

42.50.-p Quantum optics

34.20.-b Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions

Subjects

Atomic and molecular physics

Optics, quantum optics and lasers

Dates

Issue 8 (28 April 2009)

Received 12 December 2008, in final form 12 March 2009

Published 9 April 2009



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