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Quantum Limits for Harmonic Oscillator

Analysis of PDEs 2020-01-28 v2 Functional Analysis

Abstract

In this note we consider high energy eigenfunctions of the harmonic oscillator in Rd\mathbb{R}^d and prove that any invariant measure on the energy surface can be written as a weak limit of eigenfunctions.

Keywords

Cite

@article{arxiv.1905.07763,
  title  = {Quantum Limits for Harmonic Oscillator},
  author = {Elie Studnia},
  journal= {arXiv preprint arXiv:1905.07763},
  year   = {2020}
}
R2 v1 2026-06-23T09:12:06.521Z