On moments of negative eigenvalues for the Pauli operator

DOI10.1006/jdeq.1998.3473zbMath0912.35139OpenAlexW2119216421MaRDI QIDQ5906288

Zhongwei Shen

Publication date: 25 May 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f8d78697579de7626ee9d1e75c2a8f1ef586770b

zbMATH Keywords

Pauli operatorPauli matricesBirman-Schwinger principleLieb-Thirring type inequality

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Spectrum, resolvent (47A10) PDEs in connection with quantum mechanics (35Q40)

Related Items (2)

On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene ⋮ Homogenization and boundary layers in domains of finite type

Cites Work

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• A Lieb-Thirring bound for a magnetic Pauli Hamiltonian
• Magnetic Lieb-Thirring inequalities
• On the Lieb-Thirring estimates for the Pauli operator
• On the number of negative eigenvalues for a Schrödinger operator with magnetic field
• The uncertainty principle
• Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields
• Stability of Matter in Magnetic Fields
• Stability of Coulomb systems in a magnetic field.
• Schrödinger operators with singular magnetic vector potentials

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