Solution to the equations of the moment expansions
We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and connected moments of the Hamiltonian operator. In the former case the formula pro...
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Autores principales: | , |
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Formato: | Articulo |
Lenguaje: | Inglés |
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2013
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85004 |
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I19-R120-10915-85004 |
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institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas connected moments expansion convergence full solution Rayleigh-Ritz method |
spellingShingle |
Ciencias Exactas connected moments expansion convergence full solution Rayleigh-Ritz method Amore, Paolo Fernández, Francisco Marcelo Solution to the equations of the moment expansions |
topic_facet |
Ciencias Exactas connected moments expansion convergence full solution Rayleigh-Ritz method |
description |
We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and connected moments of the Hamiltonian operator. In the former case the formula produces the energies and overlaps for the Rayleigh-Ritz method in the Krylov space. We choose the harmonic oscillator and a strongly anharmonic oscillator as illustrative examples for numerical test. Our results reveal some features of the connected-moments expansion that were overlooked in earlier studies and applications of the approach. |
format |
Articulo Articulo |
author |
Amore, Paolo Fernández, Francisco Marcelo |
author_facet |
Amore, Paolo Fernández, Francisco Marcelo |
author_sort |
Amore, Paolo |
title |
Solution to the equations of the moment expansions |
title_short |
Solution to the equations of the moment expansions |
title_full |
Solution to the equations of the moment expansions |
title_fullStr |
Solution to the equations of the moment expansions |
title_full_unstemmed |
Solution to the equations of the moment expansions |
title_sort |
solution to the equations of the moment expansions |
publishDate |
2013 |
url |
http://sedici.unlp.edu.ar/handle/10915/85004 |
work_keys_str_mv |
AT amorepaolo solutiontotheequationsofthemomentexpansions AT fernandezfranciscomarcelo solutiontotheequationsofthemomentexpansions |
bdutipo_str |
Repositorios |
_version_ |
1764820488821932035 |