2D nondirect product discrete variable representation for Schrödinger equation with nonseparable angular variables

@article{Shadmehri20202DNP,
  title={2D nondirect product discrete variable representation for Schr{\"o}dinger equation with nonseparable angular variables},
  author={Sara Shadmehri and Shahpoor Saeidian and Vladimir S. Melezhik},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2020},
  volume={53}
}
We develop a nondirect product discrete variable representation (npDVR) for treating quantum dynamical problems which involve nonseparable angular variables. The npDVR basis is constructed on spherical functions orthogonalized on the grids of the Lebedev or Popov 2D quadratures for the unit sphere instead of the direct product of 1D quadrature rules. We compare our computational scheme with the old one that used the product of 1D Gaussian quadratures in terms of their convergence and efficiency… 
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