Weyl sums and atomic energy oscillations
type: Item
instance of: scholarly article
title: Weyl sums and atomic energy oscillations
zbMATH Open document ID: 0836.11028
DOI: 10.4171/RMI/170
author: Antonio Córdoba
author: Charles Fefferman
author: L. Seco
published in: Revista Matemática Iberoamericana
publication date: 1996-04-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39480
review text: In the paper certain sums that play a crucial role in the asymptotic analysis of non-relativistic atomic energies are studied in great detail. To this purpose, the authors extend the usual Van der Corput's method for exponential sums (involving Poisson's summation plus stationary phase analysis) in order to study the oscillating term appearing in the quantum theory of large atoms. The authors manage to obtain an interpretation of the phenomena in terms of classical dynamics and produce in the paper sharp asymptotic upper and lower bounds for the oscillations.
reviewed by: Emilio Elizalde
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 81V45
zbMATH DE Number: 766474
zbMATH Keywords: Weyl sums
zbMATH Keywords: asymptotic analysis of non-relativistic atomic energies
zbMATH Keywords: Van der Corput's method for exponential sums
zbMATH Keywords: quantum theory of large atoms
zbMATH Keywords: sharp asymptotic upper and lower bounds for the oscillations
MaRDI profile type: Publication
OpenAlex ID: W1993577085
description: scientific article; zbMATH DE number 766474