On the dipole approximation with error estimates

Boßmann L, Grummt R, Kolb M (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Letters in Mathematical Physics Springer Verlag (Germany)

Book Volume: 108

Pages Range: 185-193

Journal Issue: 1

DOI: 10.1007/s11005-017-0999-y

Abstract

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.

Authors with CRIS profile

Lea Boßmann

Involved external institutions

Eberhard Karls Universität Tübingen DE Germany (DE) Ludwig-Maximilians-Universität (LMU) DE Germany (DE) Universität Paderborn DE Germany (DE)

How to cite

APA:

Boßmann, L., Grummt, R., & Kolb, M. (2018). On the dipole approximation with error estimates. Letters in Mathematical Physics, 108(1), 185-193. https://doi.org/10.1007/s11005-017-0999-y

MLA:

Boßmann, Lea, Robert Grummt, and Martin Kolb. "On the dipole approximation with error estimates." Letters in Mathematical Physics 108.1 (2018): 185-193.

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