Dressing the Lorentz atom

Stephen M. Barnett; James D. Cresser; Sarah Croke

doi:10.3390/physics6020056

Dressing the Lorentz atom

Stephen M. Barnett^*, James D. Cresser, Sarah Croke

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	905-920
Number of pages	16
Journal	Physics (Switzerland)
Volume	6
Issue number	2
DOIs	https://doi.org/10.3390/physics6020056
Publication status	Published - Jun 2024
Externally published	Yes

Bibliographical note

© 2024 by the authors. Licensee MDPI, Basel, Switzerland. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Keywords

dressed states
Lorentz model
virtual photons

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10.3390/physics6020056Licence: CC BY

Publisher version (open access)Final published version, 331 KBLicence: CC BY

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N2 - 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.

AB - 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.

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KW - virtual photons

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Dressing the Lorentz atom

Abstract

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