Landau levels on the 2D torus: a numerical approach

E. Onofri

Corpus ID: 188159

Landau levels on the 2D torus: a numerical approach

@article{Onofri2008LandauLO,
  title={Landau levels on the 2D torus: a numerical approach},
  author={E. Onofri},
  journal={arXiv: Quantum Physics},
  year={2008}
}

E. Onofri

Published 2008

Physics

arXiv: Quantum Physics

A numerical method is presented which allows to compute the spectrum of the Schroedinger operator for a particle constrained on a two dimensional flat torus under the combined action of a transverse magnetic field and any conservative force. The method employs a fast Fourier transform to accurately represent the momentum variables and takes into account the twisted boundary conditions required by the presence of the magnetic field. An accuracy of twelve digits is attained even with coarse grids… CONTINUE READING

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