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A high-order integral equation-based solver for the time-dependent Schrodinger equation
[article]
2020
arXiv
pre-print
We introduce a numerical method for the solution of the time-dependent Schrodinger equation with a smooth potential, based on its reformulation as a Volterra integral equation. We present versions of the method both for periodic boundary conditions, and for free space problems with compactly supported initial data and potential. A spatially uniform electric field may be included, making the solver applicable to simulations of light-matter interaction. The primary computational challenge in
arXiv:2001.06113v1
fatcat:p2twwnphrvfb3kdzvbtovxfwkm