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The Efimov effect of three-body Schrödinger operators. (English) Zbl 0761.35078
The author considers three-body Schrödinger operators, with pair potentials decaying at infinity like $$| x|^{-\rho}$$ with $$\rho>2$$.
Assuming that all two-particles subsystems have no negative bound states but a zero resonance energy, it is proved that the whole system has an infinite number of negative bound states energies, accumulating at zero (Efimov effect).

##### MSC:
 35P25 Scattering theory for PDEs 35P20 Asymptotic distributions of eigenvalues in context of PDEs 81U10 $$n$$-body potential quantum scattering theory 35Q40 PDEs in connection with quantum mechanics
##### Keywords:
Efimov effect; negative bound states
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##### References:
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