Resonances of polyatomic molecules in the Born-Oppenheimer approximation

Resonances of polyatomic molecules in the Born-Oppenheimer approximation

We study the spectral properties of polyatomic molecules near a scattering level. We prove that in the Born-Oppenheimer approximation this study can be reduced to the one of a family of finite matrices of semiclassical pseudodifferential operators. More precisely, we show that any resonance of the m...

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Veröffentlicht in:Journal of mathematical physics 2005-10, Vol.46 (10), p.1
Hauptverfasser: Messirdi, B, Senoussaoui, A, Djellouli, G
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Matrix
Molecules
Spectrum analysis
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Zusammenfassung:We study the spectral properties of polyatomic molecules near a scattering level. We prove that in the Born-Oppenheimer approximation this study can be reduced to the one of a family of finite matrices of semiclassical pseudodifferential operators. More precisely, we show that any resonance of the molecule which is close enough to the real axis can be obtained from the discrete spectrum of one of these matrixes. [PUBLICATION ABSTRACT]
ISSN:0022-2488
1089-7658