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
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85279
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Sumario: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