Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field

DOI10.1007/s11005-011-0499-4zbMath1231.35129arXiv1102.0329OpenAlexW3099692343MaRDI QIDQ657637

Rupert L. Frank, Rikard Olofsson

Publication date: 10 January 2012

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

Full work available at URL: https://arxiv.org/abs/1102.0329

zbMATH Keywords

Schrödinger operatormagnetic fieldLieb-Thirring inequalities

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Cwikel's theorem and the CLR inequality ⋮ The Berezin inequality on domains of infinite measure

Cites Work

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• Balanced distribution-energy inequalities and related entropy bounds
• Lieb-Thirring inequalities with improved constants
• Pólya's conjecture in the presence of a constant magnetic field
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
• Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
• New bounds on the Lieb-Thirring constants
• Diamagnetic behavior of sums of Dirichlet eigenvalues
• Sharp Lieb-Thirring inequalities in high dimensions.
• Remarks on eigenvalue estimates and semigroup domination

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