Completeness of exact solutions for Richardson-Gaudin integrable systems

Project level: Honours, Masters, PhD

Quantum integrable systems are well-studied, through a variety of mathematical methods, due to the existence of exact solutions for their eigenvalue spectra. A perennial question is whether such solutions are complete. This project will extend some recent results on the topic to prove new completeness results for a particular class of integrable systems associated with the names of Richardson and Gaudin.