氢原子路径积分公式的多重网格解法
Multigrid solution of a path integral formulation for the hydrogen atom
摘要:
提出了一种利用路径积分计算氢原子基态的多重网格蒙特卡罗算法。该算法使用一个统一的方法。对r=0附近的作用量积分进行了修正,从而得到了观测量的正确值。结果表明,临界慢化(CSD)被消除。最后,将该算法与分段算法进行了比较。
英文摘要:
An efficient multigrid Monte-Carlo algorithm for calculating the ground state of the hydrogen atom using path integral is presented. The algorithm uses a unigrid approach. The action integral near r=0 is modified so that the correct values of observables are obtained. It is demonstrated that the critical slow down (CSD) is eliminated. Finally, the algorithm is compared to the staging algorithm.
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