The time-dependent Schrödinger equation is solved numerically for scattering of several model potentials. The time evolution operator is approximated to a Chebyshev polynomial expansion and the spatial derivatives are evaluated using the fast-Fourier-transform algorithm. Such a scheme is found to be highly accurate and effective. The results are in excellent agreement with exact values.
|Number of pages||6|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 1998|