Abstract
The connection between resonances occuring in the scattering of electrons on atoms (molecules) with or without the presence of a classical laser field is demonstrated for aN-state model-atom in 1st order perturbation theory with respect to the laser field. It is possible to predict the position, the shape and the background of resonances in the laser field from the sole knowledge of the corresponding scattering amplitudes without the laser field. At first, a soft-photon approximation for individual partial wave amplitudes is derived. This approximations is then tested numerically for a 2-state square well potential model. Details about the accuracy of the soft-photon approximation are obtained by comparing with the numerically exact results. Finally our findings are applied to give an interpretation of recent experimental data.
Similar content being viewed by others
References
Andrick, D., Langhans, L.: J. Phys. B: Atom, Molec. Phys.9, L459 (1976)
Langendam, P.J.K., Gavrila, N., Kaandorp, J.P.J., Van der Wiel, M.J.: J. Phys. B: Atom. Molec. Phys.9, L453 (1976)
Weingartshofer, A., Holmes, J.K., Caudle, G., Clarke, E.M.: Phys. Rev. Letters39, 269 (1977)
Krüger, H., Schulz, M.: J. Phys. B: Atom. Molec. Phys.9, 1899 (1976)
Andrick, D., Langhans, L.: ICPEACX, Abstract of papers pp. 350 (1977)
Krüger, H., Jung, C.: Phys. Rev. A, May (1978)
John, T., Williams, R.: J. Quant. Sp. Rad. Tr.17, 169 (1977)
John, T., Williams, R.: Phys. Lett.58A, 375 (1976)
John, T., Williams, A.: J. Phys. B6, L384 (1973)
Langhans, L.: doctoral thesis, Uni Kaiserslautern (1977)
Author information
Authors and Affiliations
Additional information
The authors are grateful for the financial support of the Deutsche Forschungsgemeinschaft.
Rights and permissions
About this article
Cite this article
Jung, C., Krüger, H. On the accuracy of soft-photon approximations for resonance free-free transitions. Z Physik A 287, 7–13 (1978). https://doi.org/10.1007/BF01408353
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01408353