A trigonometric sum relevant to the nonrelativistic theory of atoms

  1. A Córdoba,
  2. C Fefferman, and
  3. L Seco
  1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain.

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.

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  1. PNAS June 21, 1994 vol. 91 no. 13 5776-5778
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