an:00009881
Zbl 0761.35078
Tamura, Hideo
The Efimov effect of three-body Schr??dinger operators
EN
J. Funct. Anal. 95, No. 2, 433-459 (1991).
00156880
1991
j
35P25 35P20 81U10 35Q40
Efimov effect; negative bound states
The author considers three-body Schr??dinger 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).
A.Martinez (Villetaneuse)