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Exact solution of a 1D quantum many-body system with momentum-dependent interactions
KTH, Superseded Departments, Physics.
KTH, Superseded Departments, Physics.
2004 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 37, no 16, 4579-4592 p.Article in journal (Refereed) Published
Abstract [en]

We discuss a ID quantum many-body model of distinguishable particles with local, momentum-dependent two-body interactions. We show that the restriction of this model to fermions corresponds to the non-relativistic limit of the massive Thirring model. This fermion model can be solved exactly by a mapping to the 1D boson gas with inverse coupling constant. We provide evidence that this mapping is the non-relativistic limit of the duality between the massive Thirring model and the quantum sine-Gordon model. We show that the generalized model with distinguishable particles remains exactly solvable by the (coordinate) Bethe ansatz. Our solution provides a generalization of the above mentioned boson-fermion duality to particles with arbitrary exchange statistics characterized by any irreducible representation of the permutation group.

Place, publisher, year, edition, pages
2004. Vol. 37, no 16, 4579-4592 p.
Keyword [en]
delta-function interaction, massive thirring model, dimension, gas, particles, bosons
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-23415DOI: 10.1088/0305-4470/37/16/008ISI: 000221430700008ScopusID: 2-s2.0-2442488909OAI: diva2:342113
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-08-30Bibliographically approved

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