Estimate from below for the \(x^2 y^4\) potential and closely related potentials

DOI10.1007/S13324-015-0106-4zbMath1338.81197OpenAlexW1180182517MaRDI QIDQ281026

Brice Camus

Publication date: 10 May 2016

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-015-0106-4

zbMATH Keywords

Schrödinger operatorsground-state energyspectral estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) 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 (1)

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
• Comportement asymptotique des valeurs propres d'opérateurs du type Schrödinger à potentiel dégénérée
• Encadrement du N(\(\lambda\) ) pour un opérateur de Schrödinger avec un champ magnétique et un potentiel électrique. (Inclusion of N(\(\lambda\) ) for a Schrödinger operator with magnetic field and electric potential)
• Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below
• Higher dimensional nonclassical eigenvalue asymptotics
• A note on non-classical eigenvalue asymptotics

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