Non-classical spectral bounds for Schrödinger operators

DOI10.1007/S10958-023-06386-1OpenAlexW4365516467MaRDI QIDQ2699002

Yanyan Li

Publication date: 25 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06386-1

zbMATH Keywords

increasing electric potentialsNon-semiclassical spectral inequalities

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Nonclassical eigenvalue asymptotics
• Some quantum operators with discrete spectrum but classically continuous spectrum
• Spectral asymptotics for the Schrödinger operator with potential which steadies at infinity
• The computation of the spectral asymptotics for the Laplace operator in domains of infinite measure
• New bounds on the Lieb-Thirring constants
• Sharp Lieb-Thirring inequalities in high dimensions.
• Comportement asymptotique des valeurs propres d'opérateurs du type Schrödinger à potentiel dégénérée
• On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume
• On some sharp spectral inequalities for Schrödinger operators on semiaxis
• Asymptotics of the Negative Discrete Spectrum of a Class of Schrodinger Operators with Large Coupling Constant

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