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Long-time decay properties of Kepler map

Свойства длинновременного затухания отображения Кеплера

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Il Nuovo Cimento B (1971-1996)

Summary

Starting from the Kepler map approximation of highly excited H atoms in a microwave field, we construct a simple model to describe the decay of the survival probability. Taking into account the non-Markov character of this process, we derive an asymptotict −2/3 law for the survival probability, well confirmed by numerical experiments.

Riassunto

Partendo dalla mappa di Keplero, quale approssimazione della dinamica di atomi di idrogeno altamente eccitati in un campo a microonde, viene sviluppato un modello per descrivere il decadimento della probabilità di soprovvivenza. Il carattere non Markoviano di questo processo permette di ricavare il comportamento asintoticot −2/3 per la probabilità di sopravvivenza, ben confermato dagli esperimenti numerici.

Резюме

Исходя из приближения отображения Кеплера для сильно возбужденных атомов водорода в микроволновом поле, мы конструирыем простую модель для описания затухания вероятности выживания. Учитывая немарковский характер этого процесса мы выводим асимптотический законt −3/2 для вероятности выЗивания, что хорошо подтверждается численными экспериментами.

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Authors and Affiliations

  1. Dipartimento di Fisica Nucleare e Teorica dell’Università, Pavia

    F. Borgonovi, I. Guarneri & P. Sempio

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Pavia, Italia

    F. Borgonovi, I. Guarneri & P. Sempio

Authors
  1. F. Borgonovi
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  2. I. Guarneri
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  3. P. Sempio
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Borgonovi, F., Guarneri, I. & Sempio, P. Long-time decay properties of Kepler map. Nuov Cim B 102, 151–158 (1988). https://doi.org/10.1007/BF02726564

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  • DOI: https://doi.org/10.1007/BF02726564

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