Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line
2005 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 46, no 5Article in journal (Refereed) Published
We consider two particular one-dimensional quantum many-body systems with local interactions related to the root system C-N. Both models describe identical particles moving on the half-line with nontrivial boundary conditions at the origin, but in the first model the particles interact with the delta interaction while in the second via a particular momentum dependent interaction commonly known as delta-prime interaction. We show that the Bethe ansatz solution of the delta-interaction model is consistent even for the general case where the particles are distinguishable, whereas for the delta-prime interaction it only is consistent and nontrivial in the fermion case. We also establish a duality between the bosonic delta- and the fermionic delta-prime model, and we elaborate on the physical interpretations of these models.
Place, publisher, year, edition, pages
2005. Vol. 46, no 5
point interactions, lie-algebras, bose-gas, potentials, particles
IdentifiersURN: urn:nbn:se:kth:diva-7251DOI: 10.1063/1.1865320ISI: 000229155700001ScopusID: 2-s2.0-18844379385OAI: oai:DiVA.org:kth-7251DiVA: diva2:12207
QC 201011302007-05-312007-05-312010-11-30Bibliographically approved