Accurate summation of the perturbation series for periodic eigenvalue problems

We show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the...

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Detalles Bibliográficos
Autores principales: Fernández, Francisco Marcelo, Diaz, C. G.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Química
Solutions of wave equations: bound states
Zeeman and Stark effects
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145231
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-145231
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
Solutions of wave equations: bound states
Zeeman and Stark effects
spellingShingle Química
Solutions of wave equations: bound states
Zeeman and Stark effects
Fernández, Francisco Marcelo
Diaz, C. G.
Accurate summation of the perturbation series for periodic eigenvalue problems
topic_facet Química
Solutions of wave equations: bound states
Zeeman and Stark effects
description We show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the chosen one by branch points in the complex plane. Such approximants also give those branch points with remarkable accuracy. We choose Mathieu's equation as illustrative example.
format Articulo
Articulo
author Fernández, Francisco Marcelo
Diaz, C. G.
author_facet Fernández, Francisco Marcelo
Diaz, C. G.
author_sort Fernández, Francisco Marcelo
title Accurate summation of the perturbation series for periodic eigenvalue problems
title_short Accurate summation of the perturbation series for periodic eigenvalue problems
title_full Accurate summation of the perturbation series for periodic eigenvalue problems
title_fullStr Accurate summation of the perturbation series for periodic eigenvalue problems
title_full_unstemmed Accurate summation of the perturbation series for periodic eigenvalue problems
title_sort accurate summation of the perturbation series for periodic eigenvalue problems
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/145231
work_keys_str_mv AT fernandezfranciscomarcelo accuratesummationoftheperturbationseriesforperiodiceigenvalueproblems
AT diazcg accuratesummationoftheperturbationseriesforperiodiceigenvalueproblems
bdutipo_str Repositorios
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