Bethe Ansatz

The Bethe Ansatz is a mathematical method used to exactly solve certain complex quantum systems, particularly those involving many interacting particles. It involves representing the system's wavefunction as a combination of simpler waves, each characterized by specific parameters called "quasi-momenta." By applying this approach, researchers can determine the energy levels and behavior of particles in models like spin chains or electron interactions. Essentially, the Bethe Ansatz transforms a complicated many-body problem into a set of manageable equations, enabling precise insights into quantum materials and phenomena.