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Title: Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
Authors: Hallnas, Martin
Langmann, Edwin
Paufler, Cornelius
Issue Date: 2005
Publisher: © IOP Publishing
Citation: HALLNÄS, M., LANGMANN, E. and PAUFLER, C., 2005. Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles. Journal of Physics A: Mathematical and General, 38 (22), pp. 4957 - 4974.
Abstract: 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.
Description: This article was published in the Journal of Physics A: Mathematical and General [© IOP Publishing] and the definitive version is available at: http://dx.doi.org/10.1088/0305-4470/38/22/018
Version: Accepted for publication
DOI: 10.1088/0305-4470/38/22/018
URI: https://dspace.lboro.ac.uk/2134/11807
Publisher Link: http://dx.doi.org/10.1088/0305-4470/38/22/018
ISSN: 0305-4470
Appears in Collections:Published Articles (Maths)

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