A Pleijel-type theorem for the quantum harmonic oscillator

2015/12/24 by Charron, Philippe
#35P20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1512.07880

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.

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