On the mixed regularity of N-body Coulombic wavefunctions

DOI10.1051/m2an/2023054zbMath1522.35177OpenAlexW4380741000MaRDI QIDQ6050021

Long Meng

Publication date: 18 September 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2023054

zbMATH Keywords

Schrödinger operatorhyperbolic cross approximationmixed regularityCoulombic wavefunction

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• The quantum N-body problem
• The mixed regularity of electronic wave functions multiplied by explicit correlation factors
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Fourier Analysis and Nonlinear Partial Differential Equations
• On the eigenfunctions of many-particle systems in quantum mechanics
• Many-particle Hardy inequalities
• Electron wavefunctions and densities for atoms

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