Birkhoff Normal Forms for Born-Oppenheimer Operators

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Nawel Latigui
Bekkai Messirdi
Kaoutar Ghomari


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.

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