Higher dimensional nonclassical eigenvalue asymptotics

DOI10.1063/1.4908126zbMath1314.81084arXiv1403.2284OpenAlexW3098078073MaRDI QIDQ5178195

Brice Camus, Nils Rautenberg

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2284

zbMATH Keywords

Schrödinger operatornonclassical eigenvalue asymptotics

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

High energy asymptotics for the perturbed anharmonic oscillator ⋮ Estimate from below for the \(x^2 y^4\) potential and closely related potentials ⋮ Lower bounds for non-classical eigenvalue problems

Cites Work

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• Nonclassical eigenvalue asymptotics
• Some quantum operators with discrete spectrum but classically continuous spectrum
• Ergodicity and eigenfunctions of the Laplacian
• Comportement asymptotique des valeurs propres d'opérateurs du type Schrödinger à potentiel dégénérée
• Spectral estimates around a critical level
• One-dimensional cohomologies of discrete subgroups
• Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below
• Equilibrium and eigenfunctions estimates in the semiclassical regime
• Can One Hear the Shape of a Drum?
• A note on non-classical eigenvalue asymptotics

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