Rayleigh-Ritz variational method with suitable asymptotic behaviour

This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the correct asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for one-dimensional models such as the two double-well oscillators recently considered by oth...

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Detalles Bibliográficos
Autores principales: Fernández, Francisco Marcelo, García, Javier
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ciencias Exactas
anharmonic oscillators
asymptotic behaviour
orthogonal polynomial projection quantization
rate of convergence
Rayleigh-Ritz method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85082
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85082
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
asymptotic behaviour
orthogonal polynomial projection quantization
rate of convergence
Rayleigh-Ritz method
spellingShingle Ciencias Exactas
anharmonic oscillators
asymptotic behaviour
orthogonal polynomial projection quantization
rate of convergence
Rayleigh-Ritz method
Fernández, Francisco Marcelo
García, Javier
Rayleigh-Ritz variational method with suitable asymptotic behaviour
topic_facet Ciencias Exactas
anharmonic oscillators
asymptotic behaviour
orthogonal polynomial projection quantization
rate of convergence
Rayleigh-Ritz method
description This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the correct asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for one-dimensional models such as the two double-well oscillators recently considered by other authors. The rate of convergence of the variational method proves to be considerably greater than the one exhibited by the recently developed orthogonal polynomial projection quantization.
format Articulo
Articulo
author Fernández, Francisco Marcelo
García, Javier
author_facet Fernández, Francisco Marcelo
García, Javier
author_sort Fernández, Francisco Marcelo
title Rayleigh-Ritz variational method with suitable asymptotic behaviour
title_short Rayleigh-Ritz variational method with suitable asymptotic behaviour
title_full Rayleigh-Ritz variational method with suitable asymptotic behaviour
title_fullStr Rayleigh-Ritz variational method with suitable asymptotic behaviour
title_full_unstemmed Rayleigh-Ritz variational method with suitable asymptotic behaviour
title_sort rayleigh-ritz variational method with suitable asymptotic behaviour
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85082
work_keys_str_mv AT fernandezfranciscomarcelo rayleighritzvariationalmethodwithsuitableasymptoticbehaviour
AT garciajavier rayleighritzvariationalmethodwithsuitableasymptoticbehaviour
bdutipo_str Repositorios
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