Revista Matemática Iberoamericana

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Volume 11, Issue 1, 1995, pp. 165–226
DOI: 10.4171/RMI/170

Published online: 1995-04-30

Weyl sums and atomic energy oscillations

Antonio Córdoba[1], Charles Fefferman[2] and Luis Seco[3]

(1) Universidad Autónoma de Madrid, Spain
(2) Princeton University, United States
(3) 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.

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Córdoba Antonio, Fefferman Charles, Seco Luis: Weyl sums and atomic energy oscillations. Rev. Mat. Iberoam. 11 (1995), 165-226. doi: 10.4171/RMI/170