On the Lieb-Thirring estimates for the Pauli operator

DOI10.1215/S0012-7094-96-08225-3zbMath0882.47056OpenAlexW1989923709MaRDI QIDQ1919638

Alexander V. Sobolev

Publication date: 5 March 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08225-3

zbMATH Keywords

Pauli operatorLieb-Thirring estimates

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Infiniteness of zero modes for the Pauli operator with singular magnetic field, The Lieb–Thirring inequalities: Recent results and open problems, Energy of surface states for 3D magnetic Schrödinger operators, DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS, Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains, On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene, Hardy-Lieb-Thirring inequalities for fractional Pauli operators, Asymptotic distribution of eigenvalues for Pauli operators with nonconstant magnetic fields, Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields. I: Nonasymptotic Lieb-Thirring-type estimate., Eigenvalues in spectral gaps of the two-dimensional Pauli operator, The infrared problem for the dressed non-relativistic electron in a magnetic field, On moments of negative eigenvalues for the Pauli operator, Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields, On moments of negative eigenvalues for the Pauli operator, Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition

Cites Work

• Schrödinger operators with magnetic fields. I: General interactions
• Ground-state density of the Pauli operator in the large field limit
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
• Magnetic Lieb-Thirring inequalities
• ON SOME MULTIPLICATIVE INEQUALITIES AND APPROXIMATION NUMBERS
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