Understanding quantum systems with higher symmetries

本项目研究半经典方法在高对称性物理系统中的发展和应用。半经典方法提供了一种理解多粒子系统的有效方法，在这种情况下，精确计算的计算成本将是令人望而却步的。该项目的最终目标是SU(3)和SU(4)系统的应用程序，但是在达到应用程序阶段之前必须开发许多工具。具有SU(3)或SU(4)对称性的系统包括3阱玻色-爱因斯坦凝聚和一些超导体。

This project deals with the development and applications of semiclassical methods in physical systems with higher symmetries. Semiclassical methods provide an efficient way of understanding multi-particle systems in limits where the computational cost of exact calculations would be prohibitive.The end goals of the project are applications to SU(3) and SU(4) systems, but a number of tools must be developed before the application stage can be reached. Examples of systems with SU(3) or SU(4) symmetries include 3-well Bose-Einstein condensates and some superconductors.