Classical Oscillator Model for Electric Quadrupole Transitions

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Abstract
A classical oscillator model for electric quadrupole transitions is presented, analogous to the Lorentzoscillator model for electric dipole transitions. The model allows one to describe classically the processes of spontaneous emission, scattering, and absorption, taking into account the force of radiative reaction. Transition probabilities, spectra, and the dielectric dyadic of a material due to quadrupole transitions are calculated. All quantities agree completely with the corresponding quantities obtained quantum mechanically.

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