Eigenvalues and eigenfunctions of the anharmonic oscillator $V(x,y)=x^{2}y^{2}$
Quantum Physics
2018-02-14 v1 Mathematical Physics
math.MP
Abstract
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential 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.
Cite
@article{arxiv.1310.5229,
title = {Eigenvalues and eigenfunctions of the anharmonic oscillator $V(x,y)=x^{2}y^{2}$},
author = {Francisco M. Fernández and Javier Garcia},
journal= {arXiv preprint arXiv:1310.5229},
year = {2018}
}