English

Bound states for the quantum dipole moment in two dimensions

Quantum Physics 2015-06-11 v1 Chemical Physics

Abstract

We calculate accurate eigenvalues and eigenfunctions of the Schr\"odinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh-Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.

Keywords

Cite

@article{arxiv.1209.0195,
  title  = {Bound states for the quantum dipole moment in two dimensions},
  author = {Paolo Amore and Francisco M Fernández},
  journal= {arXiv preprint arXiv:1209.0195},
  year   = {2015}
}
R2 v1 2026-06-21T21:58:37.839Z