Quantum Limits for Harmonic Oscillator

Abstract

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

Cited by in corpus (2)

• Macroscopic limits of chaotic eigenfunctions
• Quantum limits of sub-Laplacians via joint spectral calculus