Weyl sums and atomic energy oscillations

Weyl sums and atomic energy oscillations

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.

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Veröffentlicht in:Revista matemática iberoamericana 1995-01, Vol.11 (1), p.165-226
Hauptverfasser: Córdoba, Antonio, Fefferman, Charles, Seco, Luis
Format: Artikel
Sprache:eng
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Desarrollo asintótico
Mecánica cuántica
Métodos fisicomatemáticos
Niveles atómicos
Oscilador armónico simple
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Zusammenfassung: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.
ISSN:0213-2230
2235-0616
DOI:10.4171/RMI/170