• Corpus ID: 119080772

Variational bounds on the ground-state energy of three electrons and one hole in two-dimension

@article{Luo2000VariationalBO,
  title={Variational bounds on the ground-state energy of three electrons and one hole in two-dimension},
  author={Nie Luo},
  journal={arXiv: Strongly Correlated Electrons},
  year={2000}
}

• N. Luo
• Published 31 December 2000
• Physics
• arXiv: Strongly Correlated Electrons

We consider a model of three electrons and one hole confined in a two-dimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx -0.0112me^4/8\pi^2 \epsilon ^2 \hbar ^2 for the ground-state energy of such a system when the particles are near one another. The possible connections of such a complex to other fields of physics are discussed.