A remark on one-dimensional many-body problems with point interactions

Authors
Albeverio, S Dabrowski, L Fei, SM
Citation
S. Albeverio et al., A remark on one-dimensional many-body problems with point interactions, INT J MOD B, 14(7), 2000, pp. 721-727
Citations number
19
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
14
Issue
7
Year of publication
2000
Pages
721 - 727
Database
ISI
SICI code
0217-9792(20000320)14:7<721:AROOMP>2.0.ZU;2-J
Abstract
The integrability of one-dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) delta-function interaction there is another singular point interactions which gives rise to a new one-param eter family of integrable quantum mechanical many-body systems. The bound s tates and scattering matrices are calculated for both bosonic and fermionic statistics.