Print Email Facebook Twitter Effective dipole-radiation-field theory: III. Three-dimensional oscillator 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 To reference this document use: http://resolver.tudelft.nl/uuid:b4274e57-f6b3-4f32-a53e-76dfa3367db4 TNO identifier 234431 Source International Journal of Modern Physics B, 12 (9), 965-987 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.