非齐次薛定谔方程的Chebychev传播子
A Chebychev propagator for inhomogeneous Schrödinger equations
摘要：
我们提出了一个传播计划的时间依赖性非均匀薛定谔方程，例如在最佳控制理论或反应散射计算中出现。一个正式的解决方案的基础上的多项式展开的非齐次项。它是由切比雪夫多项式的近似。不同的变种的非齐次传播的证明和应用到两个例子，从最优控制理论。分析了收敛性和数值效率。
英文摘要：
We present a propagation scheme for time-dependent inhomogeneous Schrödinger equations which occur for example in optimal control theory or in reactive scattering calculations. A formal solution based on a polynomial expansion of the inhomogeneous term is derived. It is subjected to an approximation in terms of Chebychev polynomials. Different variants for the inhomogeneous propagator are demonstrated and applied to two examples from optimal control theory. Convergence behavior and numerical efficiency are analyzed.
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