On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential

DOI10.1016/j.aop.2022.169201OpenAlexW4313357357MaRDI QIDQ2682650

Magno Branco Alves, Oswaldo M. Del Cima, Daniel H. T. Franco

Publication date: 1 February 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08143

zbMATH Keywords

stabilityspectral analysisBrown-Ravenhall operatorBessel-Macdonald function

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fermionic systems in quantum theory (81V74)

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On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene

Cites Work

• The analysis and geometry of Hardy's inequality
• Exponential decay for the eigenfunctions of the two body relativistic Hamiltonian
• Theory of Bessel potentials. I
• Spectral analysis of pseudodifferential operators
• One-electron relativistic molecules with Coulomb interaction
• Sharp Sobolev type inequalities for higher fractional derivatives
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Introduction to spectral theory. With applications to Schrödinger operators
• On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type
• The quantum scale invariance in graphene-like quantum electrodynamics
• Hamiltonians defined as quadratic forms
• Fourier Analysis and Nonlinear Partial Differential Equations
• Positivity of the two-dimensional Brown—Ravenhall operator
• AC CONDUCTIVITY OF GRAPHENE: FROM TIGHT-BINDING MODEL TO 2 + 1-DIMENSIONAL QUANTUM ELECTRODYNAMICS
• Weakly Differentiable Functions
• The Hamiltonian (p2+m2)1/2−α/r near the critical value αc=2/π
• ELECTRONIC BOUND STATES IN PARITY-PRESERVING QED₃ APPLIED TO HIGH-T_c CUPRATE SUPERCONDUCTORS
• Stability of the two-dimensional Brown–Ravenhall operator
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