POINT INTERACTIONS IN THE PROBLEM OF 3 QUANTUM PARTICLES WITH INTERNAL STRUCTURE

Citation
Ka. Makarov et al., POINT INTERACTIONS IN THE PROBLEM OF 3 QUANTUM PARTICLES WITH INTERNAL STRUCTURE, Theoretical and mathematical physics, 102(2), 1995, pp. 188-207
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
102
Issue
2
Year of publication
1995
Pages
188 - 207
Database
ISI
SICI code
0040-5779(1995)102:2<188:PIITPO>2.0.ZU;2-2
Abstract
A system of three quantum particles with internal structure in which t he two-body interactions are point interactions and are described in t erms of two-channel Hamiltonians is considered. It is established that in the cases when the parameters of the model are such that the total Hamiltonian of the three-particle system is semibounded the Faddeev e quations are Fredholm equations. Boundary conditions are formulated fo r the differential Faddeev equations whose solutions are the scatterin g wave functions.