Dressing the Lorentz Atom

We investigate the effects of the electromagnetic vacuum field on a harmonically bound electron. We show that in the electric-dipole approximation the model atom couples only to an effective one-dimensional electric field. In a simplified form, in which the problem is reduced to a single spatial dim...

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Bibliographic Details
Published in:Physics (Online) 2024-06, Vol.6 (2), p.905-920
Main Authors: Barnett, Stephen M., Cresser, James D., Croke, Sarah
Format: Article
Language:English
Subjects:
Approximation
Atoms & subatomic particles
Charged particles
Dipoles
dressed states
Electric fields
Electromagnetism
Lorentz model
Oscillators
Radiation
virtual photons
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Summary:We investigate the effects of the electromagnetic vacuum field on a harmonically bound electron. We show that in the electric-dipole approximation the model atom couples only to an effective one-dimensional electric field. In a simplified form, in which the problem is reduced to a single spatial dimension, we determine, analytically, the form of the ground state and discuss the significance of this state.
ISSN:2624-8174
2624-8174
DOI:10.3390/physics6020056