---
_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.
    <i>Letters in Mathematical Physics</i>. 2017;108:185–193. doi:<a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>
  apa: Boßmann, L., Grummt, R., &#38; Kolb, M. (2017). On the dipole approximation
    with error estimates. <i>Letters in Mathematical Physics</i>, <i>108</i>, 185–193.
    <a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>
  bibtex: '@article{Boßmann_Grummt_Kolb_2017, title={On the dipole approximation with
    error estimates}, volume={108}, DOI={<a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>},
    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.” <i>Letters in Mathematical Physics</i> 108 (2017): 185–193.
    <a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.'
  ieee: 'L. Boßmann, R. Grummt, and M. Kolb, “On the dipole approximation with error
    estimates,” <i>Letters in Mathematical Physics</i>, vol. 108, pp. 185–193, 2017,
    doi: <a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.'
  mla: Boßmann, Lea, et al. “On the Dipole Approximation with Error Estimates.” <i>Letters
    in Mathematical Physics</i>, vol. 108, 2017, pp. 185–193, doi:<a href="https://link.springer.com/article/10.1007/s11005-017-0999-y">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.
  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'
...