Some Remarks on Quantum Limits on Zoll Manifolds

DOI10.1080/03605300802038601zbMath1144.58016OpenAlexW2029275768MaRDI QIDQ3518362

Fabricio Macià

Publication date: 7 August 2008

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

Full work available at URL: https://doi.org/10.1080/03605300802038601

zbMATH Keywords

integrable systemssemiclassical measuresquantum chaoseigenfunction limits

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (11)

Concentration and non-concentration for the Schrödinger evolution on Zoll manifolds ⋮ Quantum limits on product manifolds ⋮ Geometric Control of Eigenfunctions of Schrödinger Operators ⋮ Spectral stability and semiclassical measures for renormalized KAM systems ⋮ Quantum limits of sub-Laplacians via joint spectral calculus ⋮ Observability properties of the homogeneous wave equation on a closed manifold ⋮ Observability and quantum limits for the Schrödinger equation on 𝕊^{𝕕} ⋮ Concentration of symmetric eigenfunctions ⋮ High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability ⋮ Wigner measures and observability for the Schrödinger equation on the disk ⋮ Localization and delocalization of eigenmodes of harmonic oscillators

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