On the eigenvalue counting function for Schr\"odinger operator: some upper bounds

zbMath1419.35011arXiv1909.02731MaRDI QIDQ5378098

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Publication date: 11 June 2019

Full work available at URL: https://arxiv.org/abs/1909.02731

zbMATH Keywords

Schrödinger operatoreigenvalues counting function

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Analysis of the heat kernel of the Dirichlet-to-Neumann operator
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• Some inequalities between Dirichlet and Neumann eigenvalues
• Calculation and estimation of the Poisson kernel
• Ultracontractivity and eigenvalues: Weyl's law for the Dirichlet-to-Neumann operator
• On the Eigenvalues of Vibrating Membranes^†
• Analysis With Weak Trace Ideals and the Number of Bound States of Schrodinger Operators

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