an:00061890
Zbl 0748.35026
Isozaki, Hiroshi
Structures of S-matrices for three body SchrÃ¶dinger operators
EN
Commun. Math. Phys. 146, No. 2, 241-258 (1992).
0010-3616 1432-0916
1992
j
35P25 81U20 35Q40 47A40 81U10
collision process; continuous kernel; singularities
Summary: Structures of the \(S\)-matrix associated with the collision process from 2 clusters to 3 clusters are studied. This \(S\)-matrix is shown to have a continuous kernel except for 2-dimensional spheres on which 2-body subsystems have zero velocity. On these spheres, the \(S\)-matrix has, in general, singularities whose existence arises from the zero eigenvalues and the zero resonances of the 2-body subsystems.