Polynomial scheme for time evolution of open and closed quantum systems.

@article{Jing2007PolynomialSF,
  title={Polynomial scheme for time evolution of open and closed quantum systems.},
  author={Jun Jing and Hong-ru Ma},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 1 Pt 2},
  pages={016701}
}
Based on the generating function of Laguerre polynomials, we propose a Laguerre polynomial expansion scheme in the calculation of the evolution of the time-dependent Schrödinger equation. Theoretical analysis and numerical tests show that the method is equally as good as the Chebyshev polynomial expansion method in efficiency and accuracy, with the… CONTINUE READING