Weyl sums and atomic energy oscillations.

Córdoba, Antonio, Fefferman, Charles L., and Seco, Luis A.. "Weyl sums and atomic energy oscillations.." Revista Matemática Iberoamericana 11.1 (1995): 165-226. <http://eudml.org/doc/39480>.

@article{Córdoba1995,
abstract = {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.},
author = {Córdoba, Antonio, Fefferman, Charles L., Seco, Luis A.},
journal = {Revista Matemática Iberoamericana},
keywords = {Niveles atómicos; Oscilador armónico simple; Desarrollo asintótico; Métodos fisicomatemáticos; Mecánica cuántica; Weyl sums; asymptotic analysis of non-relativistic atomic energies; Van der Corput's method for exponential sums; quantum theory of large atoms; sharp asymptotic upper and lower bounds for the oscillations},
language = {eng},
number = {1},
pages = {165-226},
title = {Weyl sums and atomic energy oscillations.},
url = {http://eudml.org/doc/39480},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Córdoba, Antonio
AU - Fefferman, Charles L.
AU - Seco, Luis A.
TI - Weyl sums and atomic energy oscillations.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 1
SP - 165
EP - 226
AB - 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.
LA - eng
KW - Niveles atómicos; Oscilador armónico simple; Desarrollo asintótico; Métodos fisicomatemáticos; Mecánica cuántica; Weyl sums; asymptotic analysis of non-relativistic atomic energies; Van der Corput's method for exponential sums; quantum theory of large atoms; sharp asymptotic upper and lower bounds for the oscillations
UR - http://eudml.org/doc/39480
ER -