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math-phOct 23, 2007
12
citations (OpenAlex)
authors
  • Rafael D. Benguria
  • Michael Loss
  • Heinz Siedentop
institutions
  • Georgia Institute of Technology
  • Ludwig-Maximilians-Universität München
  • Pontificia Universidad Católica de Chile
arXiv abstractPDF
paper

Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model

arXiv:0710.4338 · doi:10.1063/1.2832620

Abstract

We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.

arXiv comment8 pages, LaTex

References in corpus (1)

  • The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction

Cited by in corpus (6)

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  • Limit profiles for singularly perturbed Choquard equations with local repulsion
  • A New Estimate on the Two-Dimensional Indirect Coulomb Energy
  • The Scott conjecture for large Coulomb systems: a review
  • On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction
  • Indirect Coulomb Energy for Two-Dimensional Atoms
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