我们对波函数节点了解多少？
What do we know about wave function nodes?
摘要：
虽然量子蒙特卡罗在原理上是一种精确的方法来求解薛定谔方程，但众所周知，费米子系统仍然是一个挑战。到目前为止，所有解决“符号问题”的方法都是无效的（或者是错误的）。然而，固定节点方法是有效的，在许多情况下仍然是最好的方法。只要我们能找到准确的节点，或者至少有一种系统的方法来改进节点，我们实际上就可以绕过符号问题。不幸的是，人们对波函数节点知之甚少，而且从未尝试过系统的研究，尽管这些知识可能会产生明显的改善量子模拟的后果。本文研究简单原子系统的节面。
英文摘要：
Although quantum Monte Carlo is, in principal, an exact method for solving the Schroedinger equation, it is well-known that systems of Fermions still pose a challenge. Thus far all solutions to the "sign problem" remain inefficient (or wrong). The fixed-node approach, however, is efficient, and in many situations remains the best approach. If only we could find the exact nodes, or at least a systematic way to improve the nodes, we would, in effect, bypass the sign problem. Unfortunately, very little is known about wave function nodes, and a systematic study has never been attempted, despite the obvious consequences for improving quantum simulations that such knowledge might generate. In this paper we study the nodal surfaces of simple atomic systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
