Many body problems with "spin"-related contact interactions

Citation
S. Albeverio et al., Many body problems with "spin"-related contact interactions, REP MATH PH, 47(2), 2001, pp. 157-166
Citations number
31
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
47
Issue
2
Year of publication
2001
Pages
157 - 166
Database
ISI
SICI code
0034-4877(200104)47:2<157:MBPW"C>2.0.ZU;2-P
Abstract
We study quantum mechanical systems with "spin"-related contact interaction s in one dimension. The boundary conditions describing the contact interact ions are dependent on the spin states of the particles. In particular we in vestigate the integrability of N-body systems with delta -interactions and point spin couplings. Bethe ansatz solutions, bound states and scattering m atrices are explicitly given. The cases of generalized separated boundary c ondition and some Hamiltonian operators corresponding to special spin relat ed boundary conditions are also discussed.