A trigonometric sum relevant to the nonrelativistic theory of atoms

A. Córdoba, C. Fefferman, L. Seco

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We extend Van der Corput's method for exponential sums to study an oscillatory term appearing in the quantum theory of large atoms. We obtain an interpretation in terms of classical dynamics and we produce sharp asymptotic upper and lower bounds for the oscillations.

Original languageEnglish (US)
Pages (from-to)5776-5778
Number of pages3
JournalProceedings of the National Academy of Sciences of the United States of America
Volume91
Issue number13
DOIs
StatePublished - Jun 21 1994

All Science Journal Classification (ASJC) codes

  • General

Keywords

  • Weyl sums
  • quantum mechanics
  • trace formulas

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