Eigenvalue Problems in Quantum and Statistical Mechanics

9725080南丁格尔这位资深的PI因在统计力学中的各种问题上的高度创新的数值工作而广为人知。在这笔续期拨款中，他将得到支持，设计复杂的算法，并使用量子蒙特卡罗方法计算特征值。这些计算在统计力学中的具体应用是在动态临界现象的一般领域，特别是在普遍性质方面。在量子力学中，它被应用于计算玻色子和费米子范德华团簇的基态和激发态的性质。%这笔续期补助金支持一位资深PI的工作，他以在统计力学和量子力学中的大量问题上进行创新的数值工作而闻名。这里的工作包括解决统计力学和量子力学中的具体问题，以及开发复杂的计算算法。***

9725080 Nightingale This senior PI is well recognized for his highly innovative numerical work in a wide variety of problems in statistical mechanics. In this renewal grant, he is being supported to devise sophisticated algorithms and to calculate eigenvalues using quantum Monte Carlo methods. The specific applications of these calculations, in statistical mechanics are in the general area of dynamic critical phenomena, especially the universal properties. In quantum mechanics, the applications are to a calculation of properties of ground state and also excited states of both bosonic and fermionic van der Waals clusters. %%% This renewal grant supports the work of a senior PI well known for his innovative numerical work on a large number of problems in statistical mechanics and in quantum mechanics. The work here contains solutions to specific problems in both statistical mechanics and quantum mechanics, as well as development of sophisticated and complex computational algorithms. ***