Solvable models of interacting n-particle systems on quantum graphs
Mathematical Physics
2018-11-14 v1 math.MP
Abstract
We introduce n-particle quantum graphs with singular two-particle interactions in such a way that eigenfunctions can be given in the form of a Bethe ansatz. We show that this leads to a secular equation characterising eigenvalues of the Hamiltonian that is based on a finite-dimensional determinant. These findings generalise previous results about two-particle quantum graphs.
Cite
@article{arxiv.1704.00469,
title = {Solvable models of interacting n-particle systems on quantum graphs},
author = {Jens Bolte and George Garforth},
journal= {arXiv preprint arXiv:1704.00469},
year = {2018}
}