From classical to semiclassical non-trapping behaviour

DOI10.1016/j.crma.2004.01.022zbMath1046.81037OpenAlexW2076117312MaRDI QIDQ1876798

Thierry Jecko

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.01.022

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Besov estimates in the high-frequency Helmholtz equation, for a non-trapping and \(C^{2}\) potential ⋮ Energy decay in a wave guide with dissipation at infinity ⋮ A proof of the abstract limiting absorption principle by energy estimates ⋮ Resolvent Estimates and Matrix-Valued Schrödinger Operator with Eigenvalue Crossings; Application to Strichartz Estimates ⋮ Uniform resolvent estimates for a non-dissipative Helmholtz equation

Cites Work

• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Semiclassical resolvent estimates for \(N\)-body Schrödinger operators
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Semiclassical estimates in asymptotically Euclidean scattering
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