Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit d...

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Detalles Bibliográficos
Autores principales: Fernández, Francisco Marcelo, García, Javier
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/87544
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-87544
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
spellingShingle Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
Fernández, Francisco Marcelo
García, Javier
Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
topic_facet Ciencias Exactas
Anharmonic oscillators
Bound states
Resonances
Riccati-Padé method
WKB asymptotic expression
description We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.
format Articulo
Articulo
author Fernández, Francisco Marcelo
García, Javier
author_facet Fernández, Francisco Marcelo
García, Javier
author_sort Fernández, Francisco Marcelo
title Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_short Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_full Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_fullStr Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_full_unstemmed Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
title_sort highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/87544
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AT garciajavier highlyaccuratecalculationoftherealandcomplexeigenvaluesofonedimensionalanharmonicoscillators
bdutipo_str Repositorios
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