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Article Dans Une Revue International Journal of Modern Physics B Année : 2006

Chirped pulses, Gauss sums and the factorization of numbers

Résumé

We present two physical systems which make Gauss sums experimentally accessible. The probability amplitude for a two-photon transition in an appropriate ladder system driven by a chirped laser pulse is determined by a Gauss sum. The autocorrelation function of a quantum rotor is also of the form of a Gauss sum. These examples suggest rules for determining prime factor components on the basis of the properties of Gauss.
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Dates et versions

hal-00127817 , version 1 (29-01-2007)

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  • HAL Id : hal-00127817 , version 1

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Wolfgang Merkel, Oliver Crasser, Florian Haug, Eric Lutz, Holger Mack, et al.. Chirped pulses, Gauss sums and the factorization of numbers. International Journal of Modern Physics B, 2006, 20, pp.1893-1916. ⟨hal-00127817⟩
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