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arxiv: 1512.07880 · v1 · pith:ID3RESAPnew · submitted 2015-12-24 · 🧮 math.SP · math-ph· math.MP

A Pleijel-type theorem for the quantum harmonic oscillator

classification 🧮 math.SP math-phmath.MP
keywords harmonicoscillatorpleijel-typequantumtheoremasymptoticbehaviourdimension
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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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