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Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line
journal contribution
posted on 2013-02-28, 11:47 authored by Martin Hallnas, Edwin LangmannWe 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.
History
School
- Science
Department
- Mathematical Sciences
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.Publisher
© American Institute of PhysicsVersion
- AM (Accepted Manuscript)
Publication date
2005Notes
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/10.1063/1.1865320ISSN
0022-2488Publisher version
Language
- en