PIRSA:25020049

Heun operator and Bethe ansatz

Crampé, N. (2025). Heun operator and Bethe ansatz. Perimeter Institute. https://pirsa.org/25020049

Crampé, Nicolas. Heun operator and Bethe ansatz. Perimeter Institute, Feb. 27, 2025, https://pirsa.org/25020049 

          @misc{ pirsa_PIRSA:25020049,
            doi = {10.48660/25020049},
            url = {https://pirsa.org/25020049},
            author = {Cramp{\'e}, Nicolas},
            keywords = {Mathematical physics},
            language = {en},
            title = {Heun operator and Bethe ansatz},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {feb},
            note = {PIRSA:25020049 see, \url{https://pirsa.org}}
          }

Nicolas Crampé Université de Tours

Talk numberPIRSA:25020049
DOI10.48660/25020049
Collection
Talk Type Scientific Series
Subject

Abstract

After an introduction to the notion of Leonard pairs, I explain their different uses. Then, I provide the definition of the associated Heun operator and how it allows us to simplify the computation of the quantum entanglement entropy. Finally, I show, in the simplest example, how the Bethe ansatz can be used to diagonalize the Heun operator.