Non-Concentration of Quasimodes for Integrable Systems

DOI10.1080/03605302.2011.626102zbMath1254.35170arXiv1008.4396OpenAlexW1983264290MaRDI QIDQ5200540

Jared Wunsch

Publication date: 6 November 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4396

zbMATH Keywords

Lagrangianeigenfunctionwavefrontsemiclassicalquasimode

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (4)

Two-microlocal regularity of quasimodes on the torus ⋮ The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus ⋮ Schrödinger spectra and the effective Hamiltonian of weak KAM theory on the flat torus ⋮ Localization and delocalization of eigenmodes of harmonic oscillators

Cites Work

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• Quantum limits on flat tori
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• Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions. I
• Erratum to: ``Semiclassical second microlocal propagation of regularity and integrable systems
• Semiclassical measures for the Schrödinger equation on the torus
• Spreading of Lagrangian regularity on rational invariant tori
• Semi-Classical Wavefront Set and Fourier Integral Operators
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• Bouncing Ball Modes and Quantum Chaos

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