通过最小化累积的action的有效波函数传播
Efficient wavefunction propagation by minimizing accumulated action
摘要:
本文提出了一种新的方法,通过最小化累积作用量来计算量子波函数在选定的空间基中的演化。引入一个有限的时间基减少了一组线性方程组的问题,而一个适当的时间基组的选择提供了改进的收敛相对于基于矩阵指数的一类物理相关的问题的方法。
英文摘要:
This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers improved convergence relative to methods based on matrix exponentiation for a class of physically relevant problems.
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