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...
Guardado en:
Autores principales: | , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2014
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85082 |
Aporte de: |
id |
I19-R120-10915-85082 |
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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 |
_version_ |
1764820488935178242 |