范德瓦尔斯团簇的维间简并和振转态的量子Monte Carlo计算
Inter-dimensional Degeneracies in van der Waals Clusters and Quantum Monte Carlo Computation of Rovibrational States
摘要：
用量子Monte Carlo方法对惰性气体团簇旋转不变态的谱进行了估计，结果表明在$N-1$和$N+1$空间维中存在维间简并。我们通过将薛定谔本征值问题映射到一个本征值方程中，其中$D$作为连续变量出现，从而导出了这个性质。我们讨论了量子蒙特卡罗和尺度方法的影响。
英文摘要：
Quantum Monte Carlo estimates of the spectrum of rotationally invariant states of noble gas clusters suggest inter-dimensional degeneracy in $N-1$ and $N+1$ spacial dimensions. We derive this property by mapping the Schrödinger eigenvalue problem onto an eigenvalue equation in which $D$ appears as a continuous variable. We discuss implications for quantum Monte Carlo and dimensional scaling methods.
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。
