Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
2005 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 38, no 22, 4957-4974 p.Article in journal (Refereed) Published
As is well known, there exists a four-parameter family of local interactions in 1D. We interpret these parameters as coupling constants of delta-type interactions which include different kinds of momentum-dependent terms, and determine all cases leading to many-body systems of distinguishable particles which are exactly solvable by the coordinate Bethe ansatz. We find two such families of systems, one with two independent coupling constants deforming the well-known delta-interaction model to non-identical particles, and the other with a particular one-parameter combination of the delta and (the so-called) delta-prime interaction. We also find that the model of non-identical particles gives rise to a somewhat unusual solution of the Yang-Baxter relations. For the other model we write down explicit formulae for all eigenfunctions.
Place, publisher, year, edition, pages
2005. Vol. 38, no 22, 4957-4974 p.
nonlinear schrodinger model, point interactions, one-dimension, bethe-ansatz, potentials, operators
IdentifiersURN: urn:nbn:se:kth:diva-7252DOI: 10.1088/0305-4470/38/22/018ISI: 000230980100019ScopusID: 2-s2.0-19944394240OAI: oai:DiVA.org:kth-7252DiVA: diva2:12208
QC 201011302007-05-312007-05-312011-08-30Bibliographically approved