Weyl sums and atomic energy oscillations

  • Antonio Córdoba

    Universidad Autónoma de Madrid, Spain
  • Charles Fefferman

    Princeton University, United States
  • Luis Seco

    University of Toronto, Toronto, Canada


We extend Van der Corput's method for exponential sums to study an oscillating 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.

Cite this article

Antonio Córdoba, Charles Fefferman, Luis Seco, Weyl sums and atomic energy oscillations. Rev. Mat. Iberoam. 11 (1995), no. 1, pp. 165–226

DOI 10.4171/RMI/170