Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials Academic Article uri icon


  • A class of fourth order algorithms called gradient symplectic algorithms, for solving Schrödinger equation with explicit time-dependent potentials were derived. These algorithms were characterized by having only positive factorization coefficients and their efficiency could be enhanced by knowing the gradient of the potential. These algorithms were applied to the Walker-Preston model of a diatomic molecule in a strong laser field. It was shown that these algorithms belong to a one-parameter family of algorithms and that these parameters could be optimized for specific applications.

author list (cited authors)

  • Chin, S. A., & Chen, C. R.

citation count

  • 99

publication date

  • July 2002