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Title: Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line
Authors: Hallnas, Martin
Langmann, Edwin
Issue Date: 2005
Publisher: © American Institute of Physics
Citation: HALLNÄS, M. and LANGMANN, E., 2005. Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line. Journal of Mathematical Physics, 46 (5), http://dx.doi.org/10.1063/1.1865320, 15pp.
Abstract: We consider two particular one-dimensional quantum many-body systems with local interactions related to the root system CN. 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.
Description: This article was published in the Journal of Mathematical Physics [© American Institute of Physics] and the definitive version is available at: http://dx.doi.org/10.1063/1.1865320
Version: Accepted for publication
DOI: 10.1063/1.1865320
URI: https://dspace.lboro.ac.uk/2134/11808
Publisher Link: http://dx.doi.org/10.1063/1.1865320
ISSN: 0022-2488
Appears in Collections:Published Articles (Maths)

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