An optimal semiclassical bound on commutators of spectral projections with position and momentum operators

DOI10.1007/s11005-020-01328-3zbMath1456.81190OpenAlexW3084186393MaRDI QIDQ2224512

Søren Mikkelsen, Søren Fournais

Publication date: 3 February 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-020-01328-3

zbMATH Keywords

Weyl lawcommutator estimatesoptimal semiclassics

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Fermionic systems in quantum theory (81V74)

Related Items (3)

Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation ⋮ On quantum Sobolev inequalities ⋮ Norm convergence of confined fermionic systems at zero temperature

Cites Work

• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Asymptotics of the ground state energies of large Coulomb systems
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• A new method and a new scaling for deriving fermionic mean-field dynamics
• Mean-field dynamics for the Nelson model with fermions
• Hartree-Fock dynamics for weakly interacting fermions
• Mean-Field Evolution of Fermionic Mixed States
• The Stability of Matter in Quantum Mechanics
• Mean-field dynamics of fermions with relativistic dispersion
• Mean-field evolution of fermionic systems
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