Hallnas-Generalized local interactions.pdf (230.77 kB)
0/0

Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles

Download (230.77 kB)
journal contribution
posted on 28.02.2013 by Martin Hallnas, Edwin Langmann, Cornelius Paufler
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.

History

School

  • Science

Department

  • Mathematical Sciences

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.

Publisher

© IOP Publishing

Version

AM (Accepted Manuscript)

Publication date

2005

Notes

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

ISSN

0305-4470

Language

en

Exports

Logo branding

Keyword(s)

Exports