Name
Title | ||
|---|---|---|
On the computation of ground state and dynamics of Schr ödinger-Poisson-Slater system |
Abstract | ||
|---|---|---|
In this paper, we deal with the computation of ground state and dynamics of the Schrodinger-Poisson-Slater (SPS) system. To this end, backward Euler and time-splitting pseudospectral methods are proposed for the nonlinear Schrodinger equation with the nonlocal Hartree potential approximated by solving a Poisson equation. The approximation approaches for the Hartree potential include fast convolution algorithms, which are accelerated by using FFT in 1D and fast multipole method (FMM) in 2D and 3D, and sine/Fourier pseudospectral methods. The inconsistency in 0-mode in Fourier pseudospectral approach is pointed out, which results in a significant loss of high-order of accuracy as expected for spectral methods. Numerical comparisons show that in 1D the fast convolution and sine pseudospectral approaches are compatible. While, in 3D the fast convolution approach based on FMM is second-order accurate and the Fourier pseudospectral approach is better than it from both efficiency and accuracy point of view. Among all these approaches, the sine pseudospectral one is the best candidate in the numerics of the SPS system. Finally, we apply the backward Euler and time-splitting sine pseudospectral methods to study the ground state and dynamics of 3D SPS system in different setups. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2010.12.045 | J. Comput. Physics |
Keywords | Field | DocType |
schrödinger–poisson–slater system,time-splitting pseudospectral method,sine pseudospectral approach,schrödinger–poisson type system,ground state,dinger-poisson-slater system,fast convolution,fast convolution approach,fourier pseudospectral approach,sine pseudospectral method,fourier pseudospectral method,sps system,sine pseudospectral,backward euler pseudospectral method,second order,type system,fast multipole method,poisson equation,spectral method,pseudospectral method | Chebyshev pseudospectral method,Mathematical optimization,Mathematical analysis,Convolution,Gauss pseudospectral method,Pseudospectral optimal control,Spectral method,Fast multipole method,Legendre pseudospectral method,Backward Euler method,Mathematics | Journal |
Volume | Issue | ISSN |
230 | 7 | Journal of Computational Physics |
Citations | PageRank | References |
9 | 0.74 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yong Zhang | 1 | 40 | 6.01 |
| Xuanchun Dong | 2 | 63 | 6.44 |