16 citations · 17 across the 5 of their papers we have counts for
10 papers
Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems
M. E. H. Ismail, S. S. Lin, S. S. Roan
In this article we have discovered a close relationship between the (algebraic) Bethe Ansatz equations of the spin XXZ model of a finite size and the -Sturm-Liouville proble…
Intermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds
Shi-shyr Roan
In this article, we examine the arithmetic aspect of the Kummer-surface-type CY 3-folds , characterized by the crepant resolution of 3-torus-orbifold with only iso…
On Branching Indices of Affine A-D-E Diagrams : A Geometrical Characterization by Kleinian Singularities
Shi-shyr Roan
The exceptional configuration of the minimal resolution of a Kleinian quotient surface $S_G (:= \CZ^2/G)$ is depicted by a -- Coxeter-Dynkin diagram. In this…
Rational Curves in Rigid Calabi-Yau Three-folds
Shi-shyr Roan
We determine all the Kummer-surface-type Calabi-Yau (CY) 3-folds, i.e., those which are resolutions of 3-torus-orbifolds with only isolated singularities. There a…
Crepant Resolutions of C^n/A_1(n) and Flops of n-Folds for n = 4,5
Li Chiang, Shi-shyr Roan
In this article, we determine the explicit toric variety structure of $\hl^{A_1(n)}(\CZ^n)$ for , where is the special diagonal group of all order 2 elements. Throu…
Baxter's T-Q Relation and Bethe Ansatz of Discrete Quantum Pendulum and Sine-Gordon Model
Shao-shiung Lin, Shi-shyr Roan
Using the Baxter's T-Q relation derived from the transfer matrix technique, we consider the diagonalization problem of discrete quantum pendulum and discrete quantum sine-Gordon Ha…