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Padé approximants and variational methods for operator series

Падэ приближения и вариационные методы для операторных рядов

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Il Nuovo Cimento A (1965-1970)

Summary

A variational method for evaluating matrix elements and poles of Padé approximants to operator series is discussed. Error bounds and convergence properties are considered for the approximants of arbitrary order. Some applications to potential models are presented.

Riassunto

Si discute un metodo per valutare gli elementi di matrice ed i poli degli approssimanti di Padé a série di operatori. Si considerano le stime dell’errore e le proprietà di convergenza per gli approssimanti ad ogni ordine. Si presentano inoltre alcune applicazioni a modelli teorici del Potenziale.

Резюме

Обсуждается вариационный метод для вычисления матричных элементов и полюсов Падэ приближений для операторных рядов. Рассматриваются пределы ошибок и свойства сходимости для приближений произвольного порядка. Приводятся некоторые применения к потенциальным моделям.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Warsaw, Poland

    M. Pindor

  2. Istituto di Fisica dell’ Università, Bologna, Italia

    G. Turchetti

  3. Sezione di Bologna, Istituto Nazionale di Fisica Nucleare, Italia

    G. Turchetti

Authors
  1. M. Pindor
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  2. G. Turchetti
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Pindor, M., Turchetti, G. Padé approximants and variational methods for operator series. Nuov Cim A 71, 171–186 (1982). https://doi.org/10.1007/BF02816727

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  • DOI: https://doi.org/10.1007/BF02816727

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