A Local Radial Point Interpolation Method for Two-Dimensional Schrödinger Equation

Abstract:

A local radial point interpolation method is employed to the simulation of the time dependent Schrödinger equation with arbitrary potential function. Local weak form of the time dependent Schrödinger equation is obtained and radial point interpolation shape functions are applied in the space discretization. Computations are carried out for an example of time dependent Schrödinger equation having analytical solutions. Numerical results agreed with analytical solutions very well.

• Periodical: Applied Mechanics and Materials (Volumes 268-270)
• Pages: 1888-1893
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.268-270.1888
• Online since: December 2012
• Authors: Wei Gang Zhai, Xing Hui Cai, Jiang Ren Lu, Xin Li Sun
• Keywords: Local Radial Point Interpolation Method, Numerical Simulation, Schrödinger Equation

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