Séminaire d'analyse

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Efimov effect for few-body systems: asymptotic distribution of negative eigenvalues

Nom de l'orateur
Hideo Tamura
Etablissement de l'orateur
Department of Mathematics, Okayama University
Lieu de l'exposé
Salle des séminaires
Date et heure de l'exposé

The Efimov effect is one of the interesting spectral properties of three-body systems. It asserts that if all the two-body subsystems do not have negative eigenvalues and have a resonance at zero energy, then the total system has an infinite number of negative eigenvalues accumulating at the origin. The effect holds only in dimension three. In recent physics papers, it has been reported to remain true even in dimension two or one under certain conditions. I talk about these results from a mathematical point of view.