Lieb-Liniger model

The Lieb-Liniger model is a theoretical framework that describes how quantum particles interact with each other in one dimension, like beads on a string that can only move back and forth along a line. Scientists use this elegant model to understand fundamental properties of quantum systems, such as how particles behave when they're confined together and how they exchange energy and momentum. It's named after physicists Elliott Lieb and Werner Liniger, who solved this model exactly in 1963, making it one of the rare cases where quantum interactions can be completely understood through mathematics.