Properties of quantum systems via diagonalization of transition amplitudes. I. Discretization effects.

@article{Vidanovic2009PropertiesOQ,
  title={Properties of quantum systems via diagonalization of transition amplitudes. I. Discretization effects.},
  author={Ivana Vidanovic and Aleksandar Bogojevic and Aleksandar Belic},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2009},
  volume={80 6 Pt 2},
  pages={
          066705
        }
}
We analyze the method for calculation of properties of nonrelativistic quantum systems based on exact diagonalization of space-discretized short-time evolution operators. In this paper we present a detailed analysis of the errors associated with space discretization. Approaches using direct diagonalization of real-space discretized Hamiltonians lead to polynomial errors in discretization spacing Delta . Here we show that the method based on the diagonalization of the short-time evolution… Expand
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