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: | , |
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Formato: | Articulo |
Lenguaje: | Inglés |
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2014
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85279 |
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I19-R120-10915-85279 |
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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 |
_version_ |
1764820489191030784 |