English

A Pleijel-type theorem for the quantum harmonic oscillator

Spectral Theory 2015-12-25 v1 Mathematical Physics math.MP

Abstract

We prove a Pleijel-type theorem for the asymptotic behaviour of the number of nodal domains of eigenfunctions of the quantum harmonic oscillator in any dimension.

Cite

@article{arxiv.1512.07880,
  title  = {A Pleijel-type theorem for the quantum harmonic oscillator},
  author = {Philippe Charron},
  journal= {arXiv preprint arXiv:1512.07880},
  year   = {2015}
}
R2 v1 2026-06-22T12:17:44.083Z