A Pleijel-type theorem for the quantum harmonic oscillator

DOI10.4171/JST/211zbMath1400.35194arXiv1512.07880OpenAlexW2963774908MaRDI QIDQ1650237

Philippe Charron

Publication date: 2 July 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07880

zbMATH Keywords

Schrödinger operatoreigenfunctionsquantum harmonic oscillatornodal domainsFaber-KrahnPleijel theorem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

On exact Pleijel's constant for some domains ⋮ Non-boundedness of the number of super level domains of eigenfunctions ⋮ Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions ⋮ Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in ℝ² ⋮ Pleijel's theorem for Schrödinger operators with radial potentials

This page was built for publication: A Pleijel-type theorem for the quantum harmonic oscillator