Title
Effective dipole-radiation-field theory: III. Three-dimensional oscillator
Author
Dekker, H.
TNO Fysisch en Elektronisch Laboratorium
Publication year
1998
Abstract
The novel analysis of the interaction between a harmonically bound, nonrelativistic "isotropic point" charge and the electromagnetic field as presented in paper I [Int. J. Mod. Phys. B8, 2307 (1994)] and II [Int. J. Mod. Phys. B10, 1211 (1996)], is finally extended to the case of a three-dimensional oscillator. The coupling between the electron and the field is treated through all orders beyond the standard dipole model. After a statistical linearization of the highly nonlinear dynamics, the problem is solved exactly in terms of the system's normal modes. The procedure intrinsically involves a generalized mass renormalization. The solution is free of runaway modes. The quantum mechanical ultraviolet divergence known from the standard dipole model is shown to be suppressed by the generalized coupling. Inter alia an effective equation of motion for the charge is derived. It is also shown that the zero-coupling and the infinite-system limits do not commute.
Subject
Quantum mechanics
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TNO identifier
234431
Source
International Journal of Modern Physics B, 12 (9), 965-987
Document type
article