A TRIGONOMETRIC SUM RELEVANT TO THE NONRELATIVISTIC THEORY OF ATOMS

Authors
CORDOBA A FEFFERMAN C SECO L
Citation
A. Cordoba et al., A TRIGONOMETRIC SUM RELEVANT TO THE NONRELATIVISTIC THEORY OF ATOMS, Proceedings of the National Academy of Sciences of the United Statesof America, 91(13), 1994, pp. 5776-5778
Citations number
20
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Proceedings of the National Academy of Sciences of the United Statesof America → ACNP
ISSN journal
00278424
Volume
91
Issue
13
Year of publication
1994
Pages
5776 - 5778
Database
ISI
SICI code
0027-8424(1994)91:13<5776:ATSRTT>2.0.ZU;2-P
Abstract
We extend Van der Corput's method for exponential sums to study an osc illatory term appearing in the quantum theory of large atoms. We obtai n an interpretation in terms of classical dynamics and we produce shar p asymptotic upper and lower bounds for the oscillations.