Understanding quantum systems with higher symmetries

点击翻译按钮获取中文摘要

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.