---
_id: '33336'
abstract:
- lang: eng
text: The dipole approximation is employed to describe interactions between atoms
and radiation. It essentially consists of neglecting the spatial variation of
the external field over the atom. Heuristically, this is justified by arguing
that the wavelength is considerably larger than the atomic length scale, which
holds under usual experimental conditions. We prove the dipole approximation in
the limit of infinite wavelengths compared to the atomic length scale and estimate
the rate of convergence. Our results include N-body Coulomb potentials and experimentally
relevant electromagnetic fields such as plane waves and laser pulses.
author:
- first_name: Lea
full_name: Boßmann, Lea
last_name: Boßmann
- first_name: Robert
full_name: Grummt, Robert
last_name: Grummt
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
citation:
ama: Boßmann L, Grummt R, Kolb M. On the dipole approximation with error estimates.
*Letters in Mathematical Physics*. 2017;108:185–193. doi:https://link.springer.com/article/10.1007/s11005-017-0999-y
apa: Boßmann, L., Grummt, R., & Kolb, M. (2017). On the dipole approximation
with error estimates. *Letters in Mathematical Physics*, *108*, 185–193.
https://link.springer.com/article/10.1007/s11005-017-0999-y
bibtex: '@article{Boßmann_Grummt_Kolb_2017, title={On the dipole approximation with
error estimates}, volume={108}, DOI={https://link.springer.com/article/10.1007/s11005-017-0999-y},
journal={Letters in Mathematical Physics}, author={Boßmann, Lea and Grummt, Robert
and Kolb, Martin}, year={2017}, pages={185–193} }'
chicago: 'Boßmann, Lea, Robert Grummt, and Martin Kolb. “On the Dipole Approximation
with Error Estimates.” *Letters in Mathematical Physics* 108 (2017): 185–193.
https://link.springer.com/article/10.1007/s11005-017-0999-y.'
ieee: 'L. Boßmann, R. Grummt, and M. Kolb, “On the dipole approximation with error
estimates,” *Letters in Mathematical Physics*, vol. 108, pp. 185–193, 2017,
doi: https://link.springer.com/article/10.1007/s11005-017-0999-y.'
mla: Boßmann, Lea, et al. “On the Dipole Approximation with Error Estimates.” *Letters
in Mathematical Physics*, vol. 108, 2017, pp. 185–193, doi:https://link.springer.com/article/10.1007/s11005-017-0999-y.
short: L. Boßmann, R. Grummt, M. Kolb, Letters in Mathematical Physics 108 (2017)
185–193.
date_created: 2022-09-12T08:08:05Z
date_updated: 2022-09-12T08:08:09Z
department:
- _id: '96'
doi: https://link.springer.com/article/10.1007/s11005-017-0999-y
intvolume: ' 108'
language:
- iso: eng
page: 185–193
publication: Letters in Mathematical Physics
publication_status: published
status: public
title: On the dipole approximation with error estimates
type: journal_article
user_id: '85821'
volume: 108
year: '2017'
...