On the Extrapolation of Perturbation Series

On the Extrapolation of Perturbation Series

We discuss certain special cases of algebraic approximants that are given as zeroes of so-called effective characteristic polynomials and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration or summation of quantum mechanical perturbation seri...

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Veröffentlicht in:Acta applicandae mathematicae 2000-05, Vol.61 (1-3), p.133
1. Verfasser: Homeier, Herbert H H
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Approximation
Eigenvalues
Mathematics
Polynomials
Power
Quantum physics
Studies
Theory
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Zusammenfassung:We discuss certain special cases of algebraic approximants that are given as zeroes of so-called effective characteristic polynomials and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration or summation of quantum mechanical perturbation series. Examples are given and some properties discussed. [PUBLICATION ABSTARCT]
ISSN:0167-8019
1572-9036
DOI:10.1023/a:1006493830706