• Corpus ID: 119198059

Two-electron quantum dot model revisited: bound states and other analytical and numerical solutions

  title={Two-electron quantum dot model revisited: bound states and other analytical and numerical solutions},
  author={Francisco Caruso and Vitor Oguri and Felipe Silveira},
  journal={arXiv: Quantum Physics},
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… 

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