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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| 发表在: | Proc Natl Acad Sci U S A |
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| Principais autores: | , , |
| 格式: | Artigo |
| 语言: | Inglês |
| 出版: |
National Academy of Sciences
1994
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| 主题: | |
| 在线阅读: | 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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