Quantum Limits for Harmonic Oscillator

2019/05/19 by Studnia, Elie
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1905.07763

Abstract

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

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