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math-ph2019
Interface Asymptotics of Wigner-Weyl Distributions for the Harmonic Oscillator
Boris Hanin, Steve Zelditch
We prove several types of scaling results for Wigner distributions of spectral projections of the isotropic Harmonic oscillator on . In prior work, we studied Wigner d…
math-ph2019
Interface Asymptotics of Eigenspace Wigner distributions for the Harmonic Oscillator
Boris Hanin, Steve Zelditch
Eigenspaces of the quantum isotropic Harmonic Oscillator on have extremally high multiplicites and the…
math-ph2017
Level Spacings and Nodal Sets at Infinity for Radial Perturbations of the Harmonic Oscillator
Thomas Beck, Boris Hanin
We study properties of the nodal sets of high frequency eigenfunctions and quasimodes for radial perturbations of the Harmonic Oscillator. In particular, we consider nodal sets on…