Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line
- Mathematical Physics, KTH Physics, AlbaNova, SE-106 91 Stockholm (Sweden)
We consider two particular one-dimensional quantum many-body systems with local interactions related to the root system C{sub 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.
- OSTI ID:
- 20699161
- Journal Information:
- Journal of Mathematical Physics, Vol. 46, Issue 5; Other Information: DOI: 10.1063/1.1865320; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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