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A trigonometric sum relevant to the nonrelativistic theory of atoms.

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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書誌詳細
出版年:Proc Natl Acad Sci U S A
主要な著者: Córdoba, A, Fefferman, C, Seco, L
フォーマット: Artigo
言語:Inglês
出版事項: National Academy of Sciences 1994
主題:
オンライン・アクセス:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC44079/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/11607477/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.91.13.5776
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