Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field

DOI10.1007/s00023-004-0180-xzbMath1054.81016arXivmath-ph/0304017OpenAlexW3102977126WikidataQ59255784 ScholiaQ59255784MaRDI QIDQ1882645

Jan Philip Solovej, László Erdős

Publication date: 1 October 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0304017

zbMATH Keywords

Lieb-Thirring inequality localization scheme non-homogeneous magnetic field pointwise density of zero mode

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (9)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Derivation of the magnetic Euler-Heisenberg energy ⋮ Spectral confinement and current for atoms in strong magnetic fields ⋮ Hardy-Lieb-Thirring inequalities for fractional Pauli operators ⋮ EIGENFUNCTIONS AT THE THRESHOLD ENERGIES OF MAGNETIC DIRAC OPERATORS ⋮ Two effective models for the Dirac vacuum in electromagnetic fields ⋮ The asymptotic limits of zero modes of massless Dirac operators ⋮ Confining quantum particles with a purely magnetic field ⋮ Relativistic Scott correction in self-generated magnetic fields

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