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Comment on "Numerical estimates of the spectrum for anharmonic PT symmetric potentials"
(IOP Publishing, 2013-03)
We show that the authors of the commented paper (Bowen et al 2012 Phys. Scr. 85 065005) draw their conclusions from the eigenvalues of truncated Hamiltonian matrices that do not converge as the matrix dimension increases. ...
Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2
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 ...
Unitary transformations of a family of two-dimensional anharmonic oscillators
In this paper we analyze a recent application of perturbation theory by the moment method to a family of two-dimensional anharmonic oscillators. By means of straightforward unitary transformations we show that two of the ...