Quantum Lax Operators and Discrete 2+1-Dimensional Integrable Models

Anjan Kundu

A novel algebra underlying integrable systems is shown to generate and unify a large class of quantum integrable models with given $R$ matrix, through reductions of an ancestor Lax operator and its different realizations. Along with known discrete and field models a new class of inhomogeneous and impurity models is obtained.

L. D. Faddeev, A. Yu. Volkov

Miki Wadati, Eugenio Olmedilla, Yasuhiro Akutsu

A pair of Lax operators which gives a set of fundamental equations in the quantum inverse scattering method is explicitly presented for the one-dimensional Hubbard model. This provides a direct proof that the model is a completely integrable system.

Leon A. Takhtajan

Igor Moiseevich Krichever, Ovidiu Lipan, Paul B. Wiegmann +1 more

Rui‐Hong Yue, Ryu Sasaki B

For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability of the model under periodic boundary condition.