Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
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DOI：
10.1016/j.geomphys.2018.08.004
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发表时间：
2018-02
影响因子：
1.5
通讯作者：
K. Motegi
中科院分区：
文献类型：
--
作者：
K. Motegi
本文分析了Foda-Wheeler-Zuparic引入的椭圆型Felderhof模型的标量积作为Deguchi-Akutsu三角面型Felderhof模型的椭圆扩展。利用Wheeler提出的Izergin-Korepin技术研究可积晶格模型的标量积，导出了标量积的行列式。将标量积的行列式公式与最近发展的Izergin-Korepin分析波函数的方法相结合，导出了椭圆型舒尔函数的柯西公式。
We analyze the scalar products of the elliptic Felderhof model introduced by Foda–Wheeler–Zuparic as an elliptic extension of the trigonometric face-type Felderhof model by Deguchi–Akutsu. We derive the determinant formula for the scalar products by applying the Izergin–Korepin technique developed by Wheeler to investigate the scalar products of integrable lattice models. By combining the determinant formula for the scalar products with the recently-developed Izergin–Korepin technique to analyze the wavefunctions, we derive a Cauchy formula for elliptic Schur functions.