Quantum integrability
Goal: Understanding the formalism of quantum inverse spectral method and algebraic Bethe ansatz for integrable equations
Supervisor: Stefan Carstea
Scheme:
A: Construction of integrable systems using monodromy and R-matrices
B: RTT relations and Yang-Baxter equationC: Algebraic Bethe ansatz, commutation relations for XXX and XXZ Heisenberg ferromagnets
D: Bethe equations, trigonometric R-matrix, six-vertex model
References:
1. V. Korepin, N. Bogoliubov, A. Izergin, Quantum Inverse Scattering Method and Correlation functions, Cambridge Univ. Press, 1993
2. L. D. Faddeev, L. Takhtadjan, Hamiltonian methods in the theory of Solitons, Springer, 1987
3. N. A. Slavnov, Algebraic Bethe ansatz, arXiv:1804.07350v2