# Two-electron quantum dot model revisited: bound states and other analytical and numerical solutions. (arXiv:1608.04375v2 [quant-ph] UPDATED)

The model of a two-electron quantum dot, confined to move in a two

dimensional flat space, is revisited. Generally, it is argued that the

solutions of this model obtained by solving a biconfluent Heun equation have

some limitations. In particular, some corrections are also made in previous

theoretical calculations. The corrected polynomial solutions are confronted

with numerical calculations based on the Numerov method, in a good agreement

between both. Then, new solutions considering the $1/r$ and $\ln r$

Coulombian-like potentials in (1+2)D, not yet obtained, are discussed

numerically. In particular, we are able to calculate the quantum dot

eigenfunctions for a much larger spectrum of external harmonic frequencies as

compared to previous results. Also the existence of bound states for such

planar system in the case $l=0$ is predicted and the respective eigenvalues are

determined.