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Unified derivation of exact solutions for a class of quasi-exactly solvable models
Davids Agboola, Yao-Zhong Zhang
We present a unified treatment of exact solutions for a class of four quantum mechanical models, namely the singular anharmonic potential, the generalized quantum isotonic oscillat…
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…
Free field realization of the exceptional current superalgebra $\hat{D(2,1;\a)}_k$
Xi Chen, Wen-Li Yang, Xiang-Mao Ding +4
The free-field representations of the $D(2,1;\a)$ current superalgebra and the corresponding energy-momentum tensor are constructed. The related screening currents of the first kin…
Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
Wen-Li Yang, Xi Chen, Jun Feng +5
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex SOS model, we obtain the explicit determinant expression of the partition function of the eight-ver…
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
Wen-Li Yang, Xi Chen, Jun Feng +4
With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant represen…
Exact polynomial solutions of second order differential equations and their applications
Yao-Zhong Zhang
We find all polynomials such that the differential equation where are polynomials of degree at mos…
Scalar products of the open XYZ chain with non-diagonal boundary terms
Wen-Li Yang, Xi Chen, Jun Feng +4
With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix of the eight-vertex solid-on-solid (SOS) model, we obtain the determinant representations of the…
Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms
Wen-Li Yang, Xi Chen, Jun Feng +4
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseud…