Response to Amore and Fernandez

Comment on: “Bidimensional bound states for charged polar nanoparticles”

“…We conjecture that the algorithm used by those authors does not yield the eigenvalues orderly and for that reason they have been picking out the eigenvalues randomly which explains the discontinuity in CC's figure 1 [1] that does not appear in our more careful calculation given in figure 2 of our comment [3]. Figure 3 shows present results λ(ν) (blue, continuous line) and those given by CC [4] in their reply (red circles). It is clear that the discontinuity in the figure 1 of their first paper [1] is due to a jump from the lowest eigenvalue to the next higher one as conjectured in our Comment [3].…”

“…After the Comment [3] and Reply [4] were published we could finally reproduce CC's results [1,4] by simply solving the eigenvalue equation for the Mathieu function as shown by Coïsson et al [5]. Table 2 shows a(ν) for q = 0.8147872 and ν = 1, 2, 3, 4.…”