English

Born-Oppenheimer Approximation for a Simple Renormalizable System

Mathematical Physics 2016-11-08 v1 math.MP

Abstract

We discuss a simple singular system in two dimension, two heavy particles interacting with a light particle via an attractive contact interaction. Although intuitively clear the actual application of the Born-Oppenheimer approximation to this problem is quite subtle. Nevertheless, with due care we show that this can be done, as a result we calculate the leading term of the Born-Oppenheimer approximation and indicate how to get the higher order corrections.

Keywords

Cite

@article{arxiv.1611.01797,
  title  = {Born-Oppenheimer Approximation for a Simple Renormalizable System},
  author = {Haci Akbas and O. Teoman Turgut},
  journal= {arXiv preprint arXiv:1611.01797},
  year   = {2016}
}
R2 v1 2026-06-22T16:43:28.720Z