快速收敛路径积分的递推Schr\”odinger方程法
Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
摘要：
通过递归求解薛定谔方程，我们建立了一种有效的系统方法，用于推导离散有效作用量的解析表达式.有了这个，我们得到离散的短时间传播子为一个和多个粒子在任意维的订单还没有访问之前。它们可以用来大大加快路径积分的数值蒙特卡罗计算，以及建立一个新的分析近似方案的能谱，态密度，和其他统计性质的量子系统。
英文摘要：
By recursively solving the underlying Schr\" odinger equation, we set up an efficient systematic approach for deriving analytic expressions for discretized effective actions. With this we obtain discrete short-time propagators for both one and many particles in arbitrary dimension to orders which have not been accessible before. They can be used to substantially speed up numerical Monte Carlo calculations of path integrals, as well as for setting up a new analytical approximation scheme for energy spectra, density of states, and other statistical properties of quantum 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。
