Abstract
In this paper, we propose a numerical scheme to solve the two-dimensional (2D) time-dependent Schrödinger equation by using the method of particular solution(MPS) and radial basis function(RBF). The scheme works in a similar fashion as finite-difference methods. The results of numerical experiments are presented, and compared with analytical solutions to confirm the good accuracy of the presented scheme.
This work was supported by the National Natural Science Foundation of China (Nos. 10671086, 11071031, U0935004), and the Natural Science Foundation of Shandong Province, China (NO. ZR2010AM014).
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Li, T., Wang, GD., Jiang, ZW. (2011). A Numerical Method for Two-Dimensional Schrödinger Equation Using MPS. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_7
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DOI: https://doi.org/10.1007/978-3-642-27503-6_7
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