Eigenvalues and eigenfunctions of the anharmonic oscillator V(x,y) = x
2
y
2 |
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| Authors: | Francisco M Fernández Javier Garcia |
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| Institution: | 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
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| 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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