25 citations · 66 across the 4 of their papers we have counts for
4 papers
Quasi-Exactly Solvable Models Derived from the Quasi-Gaudin Algebra
Yuan-Harng Lee, Jon Links, Yao-Zhong Zhang
The quasi-Gaudin algebra was introduced to construct integrable systems which are only quasi-exactly solvable. Using a suitable representation of the quasi-Gaudin algebra, we obtai…
Exact solutions for a family of spin-boson systems
Yuan-Harng Lee, Jon Links, Yao-Zhong Zhang
We obtain the exact solutions for a family of spin-boson systems. This is achieved through application of the representation theory for polynomial deformations of the Lie a…
Polynomial algebras and exact solutions of general quantum non-linear optical models II: Multi-mode boson systems
Yuan-Harng Lee, Wen-Li Yang, Yao-Zhong Zhang
We present higher order polynomial algebras which are the dynamical symmetry algebras of a wide class of multi-mode boson systems in non-linear optics. We construct their unitary r…
Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
Yuan-Harng Lee, Wen-Li Yang, Yao-Zhong Zhang
We introduce higher order polynomial deformations of Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator reali…