Numerical validation of the quantum lattice Boltzmann scheme in two and three dimensions.

@article{Palpacelli2007NumericalVO,
  title={Numerical validation of the quantum lattice Boltzmann scheme in two and three dimensions.},
  author={Stefano Palpacelli and Sauro Succi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 6 Pt 2},
  pages={066704}
}
The multidimensional formulation of the quantum lattice Boltzmann (QLB) scheme is validated against analytical solutions of the time-dependent nonrelativistic Schrödinger equation in two and three spatial dimensions. As a result, we demonstrate the viability of the quantum lattice Boltzmann scheme for the numerical solution of the time-dependent Schrödinger equation in multiple spatial dimensions. In addition, the links between the QLB scheme and sequential splitting methods for partial… CONTINUE READING

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