International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Birkhoff Normal Forms for Born-Oppenheimer Operators

  • Nawel Latigui
  • Bekkai Messirdi1*
  • Kaoutar Ghomari
  1. University of Oran1

* Corresponding author

Abstract

We describe in this paper a significant spectral reduction method for Born-Oppenheimer operators with regular potentials, which leads to an adaptable Birkhoff normal form theorem for the associated effective Hamiltonians. As illustration of the established results, we compute the Birkhoff normal form in Fermi resonance.

How to Cite

N. Latigui, B. Messirdi, K. Ghomari, Birkhoff Normal Forms for Born-Oppenheimer Operators, Int. J. Anal. Appl. 18 (2020), 183–193. https://doi.org/10.28924/2291-8639-18-2020-183

BibTeX
@article{Latigui2020,
  author  = {Latigui, Nawel and Messirdi, Bekkai and Ghomari, Kaoutar},
  title   = {Birkhoff Normal Forms for Born-Oppenheimer Operators},
  journal = {Int. J. Anal. Appl.},
  volume  = {18},
  year    = {2020},
  pages   = {183--193},
  doi     = {10.28924/2291-8639-18-2020-183}
}

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