Mathematical Studies in Quantum Mechanics

该奖项将支持涉及量子力学数学的几个项目。 一个主要目标是发展计算机算法，用于研究分子中原子核的量子力学运动。 另一个主要目标是研究弱耦合量子力学系统的绝热理论超过共振寿命。 其他目标包括某些不稳定分子的分裂和分子共振态的研究。 参与该项目的研究生将接受绝热量子计算、随机势中的量子力学和许多体散射现象的培训。主要研究人员、他们的合作者和他们的研究生将利用该奖项的支持来研究量子力学中的数学问题。其中一个项目将涉及如何有效地使用计算机计算反应分子中原子核的量子力学运动。 其他项目将研究量子计算的各个理论方面。 此外，还将研究不稳定分子和其他有限寿命的系统。 研究生将接受涉及量子理论的这些和其他方面的培训。

This award will support several projects that involve the mathematics of quantum mechanics. One main goal is the development of computer algorithms for studying the quantum mechanical motion of nuclei in molecules. Another main goal is to study adiabatic theory for weakly coupled quantum mechanical systems beyond the lifetime of a resonance. Other goals involve the break-up of certain unstable molecules and the study of molecular resonance states. Graduate students involved in the project will be trained in adiabatic quantum computing, quantum mechanics in random potentials, and many body scattering phenomena.The principal investigators, their collaborators, and their graduate students will use support from this award to study mathematical problems in quantum mechanics. One project will involve how to use computers efficiently when computing the quantum mechanical motion of the nuclei in reacting molecules. Other projects will study various theoretical aspects of quantum computing. In addition, unstable molecules and other systems with finite lifetimes will be studied. Graduate students will receive training involving these and other aspects of quantum theory.