Absorbing boundary conditions for the time-dependent Schrödinger-type equations in R3

@article{Wu2019AbsorbingBC,
  title={Absorbing boundary conditions for the time-dependent Schr{\"o}dinger-type equations in R3},
  author={Xiaojie Wu and Xiaotao Li},
  journal={Physical review. E},
  year={2019},
  volume={101 1-1},
  pages={
          013304
        }
}
Absorbing boundary conditions are presented for three-dimensional time-dependent Schrödinger-type of equations as a means to reduce the cost of the quantum-mechanical calculations. The boundary condition is first derived from a semidiscrete approximation of the Schrödinger equation with the advantage that the resulting formulas are automatically compatible with the finite-difference scheme and no further discretization is needed in space. The absorbing boundary condition is expressed as a… 

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