Zero-threshold resolvent asymptotics of three-body Schrödinger operators

Xue Ping Wang (1)

1 Equations aux dérivées partielles

We analyze the spectral properties for three-body Schrödinger operators at the threshold zero and give some results on the asymptotics of resolvent under the condition that zero is a regular point for all two-body Subhamiltonians.

Mots clés: three-body Schrödinger operators; threshold spectral analysis; the Efimov effect

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]

Xue Ping Wang. Zero-threshold resolvent asymptotics of three-body Schrödinger operators. Few-body Systems -Special issue on Efimov Physics,, 2011, 51, pp.181-189. ⟨hal-01005825⟩