English

Two particles on a star graph I

Mathematical Physics 2009-11-13 v2 math.MP Spectral Theory

Abstract

We consider a two particle system on a star graph with δ\delta-function interaction. A class of eigensolutions is described which are constructed from appropriate one particle solutions, and hence are parametrised by two momenta. These solutions include a family of solutions with discontinuous derivative on the diagonal.

Cite

@article{arxiv.0708.0915,
  title  = {Two particles on a star graph I},
  author = {M. Harmer},
  journal= {arXiv preprint arXiv:0708.0915},
  year   = {2009}
}

Comments

2 figures. New version has only notational changes

R2 v1 2026-06-21T09:05:26.694Z