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: Amore, Paolo, Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85004
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id I19-R120-10915-85004
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
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
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