On the location of the essential spectrum of Schrödinger operators

DOI10.1090/S0002-9939-01-06271-2zbMath1113.35137OpenAlexW1604210291MaRDI QIDQ2781349

Metafune, Giorgio, Pallara, Diego

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06271-2

zbMATH Keywords

Poincaré inequalityessential spectrumlower estimatesLebesgue-measure methodSchrödinger operators in \(N\) dimensions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

On the essential spectrum of Schrödinger operators on Riemannian manifolds

Cites Work

• Some quantum operators with discrete spectrum but classically continuous spectrum
• Best constant in Sobolev inequality
• Discreteness of the spectrum for some differential operators with unbounded coefficients in \(\mathbb{R}^n\)
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