Computational Studies in Atomic and Molecular Physics and of Integro-Differential Equations

这个研究改进在少数民族机构（RIMI）项目将集中在原子和分子物理和积分微分方程的计算研究。研究将分为三个子领域：光子激发原子相互作用的理论研究；3n -体问题快速收敛能量界的矩法带边条件的积分微分方程的时滞控制问题。该项目将在利用物理学、数学物理和量子化学的基础研究的几个领域产生有用的数据。这些研究还将有助于更好地理解激发态光电离、n体玻色子和费米子系统，以及由具有时滞的积分微分方程（热流、弹性等）控制的最优控制过程。这种对激发态光电离的全面研究将大大提高一个以少数民族为主的机构的研究能力。主要研究人员训练有素，并在几家评审期刊上广泛发表文章。从事这个项目的教师和学生将加强他们的研究技能，这将有助于在这个机构建立一个一流的光学实验室。

This Research Improvement in Minority Institutions (RIMI) project will focus on computational studies in atomic and molecular physics and integro-differential equations. Studies will be in three subareas: Theoretical Investigations of Photon-Excited Atom Interactions; A Moments Approach for Generating Rapidly Convergent Energy Bounds for the 3N-Body Problem; and Time-Lag Control Problems Governed by Integro-Differential Equations with Side Conditions. This project will produce useful data in several areas of basic research that utilize physics, mathematical physics, and quantum chemistry. The studies will also lead to a better understanding of excited states photo-ionization, N-body bosonic and fermionic systems, and optimal control processes that are governed by integro-differential equations with time lag (heat flow, elasticity, etc.). This comprehensive investigation of the photoionization of excited atomic states will significantly increase the research capability of a predominantly minority institution. The principal investigators are well-trained and have published widely in several refereed journals. Faculty and students working on this project will strengthen those research skills that will help in developing a first-rate optics laboratory at this institution.