Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2

We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement wi...

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Autores principales: Fernández, Francisco Marcelo, García, Javier
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85279
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id I19-R120-10915-85279
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
spellingShingle Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
Fernández, Francisco Marcelo
García, Javier
Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
topic_facet Física
Anharmonic oscillator
connected-moments expansion
discrete spectrum
point-group symmetry
Rayleigh-Ritz method
description We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it
format Articulo
Articulo
author Fernández, Francisco Marcelo
García, Javier
author_facet Fernández, Francisco Marcelo
García, Javier
author_sort Fernández, Francisco Marcelo
title Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_short Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_full Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_fullStr Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_full_unstemmed Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
title_sort eigenvalues and eigenfunctions of the anharmonic oscillator v(x, y) = x2y2
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85279
work_keys_str_mv AT fernandezfranciscomarcelo eigenvaluesandeigenfunctionsoftheanharmonicoscillatorvxyx2y2
AT garciajavier eigenvaluesandeigenfunctionsoftheanharmonicoscillatorvxyx2y2
bdutipo_str Repositorios
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