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Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2

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Central European Journal of Physics

Abstract

We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x 2 y 2 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

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Authors and Affiliations

  1. División Química Teórica Diag., INIFTA (UNLP, CCT La Plata-CONICET), 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernández & Javier Garcia

Authors
  1. Francisco M. Fernández
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  2. Javier Garcia
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Correspondence to Francisco M. Fernández.

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Fernández, F.M., Garcia, J. Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2 . centr.eur.j.phys. 12, 499–502 (2014). https://doi.org/10.2478/s11534-014-0474-7

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  • DOI: https://doi.org/10.2478/s11534-014-0474-7

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