首页> 外文会议>International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003); Sep 12-16, 2003; Kastoria, Greece >NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL TIME INDEPENDENT SCHROEDINGER EQUATION WITH EXPONENTIAL-FITTING METHODS
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NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL TIME INDEPENDENT SCHROEDINGER EQUATION WITH EXPONENTIAL-FITTING METHODS

机译:二维时间独立薛定ING方程的指数拟合法数值解

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摘要

The solution of the two-dimensional time-independent Schrodinger equation is considered by partial discretization. We apply exponential-fitting methods for the solution of the discretized problem which is an ordinary differential equation problem. All methods are applied for the computation of the eigenvalues of the two-dimensional harmonic oscillator and the two-dimensional Henon-Heils potential. The results are compared with the results produced by full discretization.
机译:通过局部离散化来考虑二维与时间无关的薛定inger方程的解。对于离散问题(常微分方程问题)的求解,我们采用指数拟合方法。所有方法都适用于二维谐波振荡器和二维Henon-Heils势的特征值的计算。将结果与完全离散化产生的结果进行比较。

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