Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators

We provide lower bounds for the sum of the negative eigenvalues of the operator | σ · p A | 2 s - C s / | x | 2 s + V in three dimensions, where s ∈ ( 0 , 1 ] , covering the interesting physical cases s = 1 and s = 1/2. Here σ is the vector of Pauli matrices, p A = p - A , with p = - i ∇ the three...

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Bibliographic Details
Published in:	Communications in mathematical physics Vol. 365; no. 2; pp. 651 - 683
Main Authors:	Bley, Gonzalo A., Fournais, Søren
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2019 Springer Nature B.V
Subjects:	Classical and Quantum Gravitation Complex Systems Diamagnetism Eigenvalues Inequalities Lower bounds Magnetic fields Magnetic vector potentials Mathematical analysis Mathematical and Computational Physics Mathematical Physics Matrix algebra Matrix methods Operators (mathematics) Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
ISSN:	0010-3616, 1432-0916
Online Access:	Get full text
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