Semiclassical asymptotics for nonselfadjoint harmonic oscillators

DOI10.2140/PAA.2020.2.427zbMath1445.35269arXiv1812.02022OpenAlexW3103377333MaRDI QIDQ2194411

Víctor Arnaiz, Gabriel Rivière

Publication date: 26 August 2020

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02022

zbMATH Keywords

integrable systemsresolvent estimatesaveraging methodsemiclassical analysisnonselfadjoint operators

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (2)

Sharp resolvent estimate for the damped-wave Baouendi-Grushin operator and applications ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

Cites Work

• Concentration and non-concentration for the Schrödinger evolution on Zoll manifolds
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• Energy decay for the damped wave equation under a pressure condition
• Spectral deviations for the damped wave equation
• Semiclassical non-concentration near hyperbolic orbits
• Energy decay for damped wave equations on partially rectangular domains
• Observability and quantum limits for the Schrödinger equation on 𝕊^{𝕕}
• Diophantine tori and spectral asymptotics for nonselfadjoint operators
• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• One-Parameter Semigroups for Linear Evolution Equations
• The Spectrum of the Damped Wave Operator for a Bounded Domain inR²
• Asymptotic distribution of eigenfrequencies for damped wave equations
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