ZMP Seminar Series: Separation of Variables

Winter Term 2024/25

DESY/UHH

See also the Junior ZMP Seminar

Literature

Babelon, Bernard, Talon: Introduction to Classical Integrable Systems

Sklyanin: The Quantum Toda Chain

Sklyanin: Separation of variables: New trends (solv-int/9504001)

Kuznetsov, Nijhoff, Sklyanin: Separation of variables for the Ruijsenaars system (solv-int/9701004)

Derkachov, Korchemsky, Manashov: Separation of variables for the quantum SL(2,R) spin chain (hep-th/0210216)

Material

Abstract, including references

More literature

Seminar 1: Classical SoV 1 (Lukas Johannsen)

Lecture notes

Seminar 2: Classical SoV 2: Spectral Curve (Jonah Baerman)

Lecture notes

Seminar 3: Classical SoV 3: Action-Angle Variables (Albert Bekov)

Lecture notes

Seminar 3: Quantum Separation of Variables 1: Sklyanin Measure and Baxter TQ equation (Torben Skrzypek)

Seminar 4: Quantum Separation of Variables 2: Modern approach and higher rank (Paul Ryan)

Schedule (seminar and colloquium)