A number-theoretic estimate for the thomas-fermi density

DOI10.1080/03605309608821218zbMath0857.35105OpenAlexW1996731769MaRDI QIDQ4892746

Antonio Córdoba, Charles L. Fefferman, Luis A. Seco

Publication date: 18 September 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821218

zbMATH Keywords

Schrödinger operatoratomic energy asymptoticsestimate for the Thomas-Fermi density

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Atomic physics (81V45)

Related Items (1)

The Scott conjecture for large Coulomb systems: a review

Cites Work

• On the leading correction of the Thomas-Fermi model: Lower bound
• An atomic energy lower bound that agrees with Scott's correction
• On the divisor and circle problems
• Eigenvalues and eigenfunctions of ordinary differential operators
• The Thomas-Fermi theory of atoms, molecules and solids
• On the leading energy correction for the statistical model of the atom: Interacting case
• Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential
• Asymptotics of the ground state energies of large Coulomb systems
• On the Dirac and Schwinger corrections to the ground-state energy of an atom
• The eigenvalue sum for a one-dimensional potential
• The density in a one-dimensional potential
• The density in a three-dimensional radial potential
• On the energy of a large atom
• Exponential Sums and Lattice Points
• A trigonometric sum relevant to the nonrelativistic theory of atoms.
• ON THE THOMAS-FERMI EQUATION

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