English

Aspects of the ODE/IM correspondence

High Energy Physics - Theory 2007-05-23 v1

Abstract

We review a surprising correspondence between certain two-dimensional integrable models and the spectral theory of ordinary differential equations. Particular emphasis is given to the relevance of this correspondence to certain problems in PT-symmetric quantum mechanics.

Keywords

Cite

@article{arxiv.hep-th/0411069,
  title  = {Aspects of the ODE/IM correspondence},
  author = {Patrick Dorey and Clare Dunning and Roberto Tateo},
  journal= {arXiv preprint arXiv:hep-th/0411069},
  year   = {2007}
}

Comments

15 pages, 12 figures. Contribution to the Proceedings ``Recent Trends in Exponential Asymptotics", June 28 - July 2 (2004), RIMS, Kyoto