Physics – Mathematical Physics
Scientific paper
2011-09-04
Journal of Computational Physics 230 (2011), pp. 7917-7922
Physics
Mathematical Physics
Scientific paper
10.1016/j.jcp.2011.07.026
In a recent paper we proposed and compared various approaches to compute the ground state and dynamics of the Schr\"{o}dinger--Poisson--Slater (SPS) system for general external potential and initial condition, concluding that the methods based on sine pseudospectral discretization in space are the best candidates. This note is concerned with the case that the external potential and initial condition are spherically symmetric. For the SPS system with spherical symmetry, via applying a proper change of variables into the reduced quasi-1D model we simplify the methods proposed for the general 3D case such that both the memory and computational load are significantly reduced.
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