Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms

TL;DR

This paper derives determinant formulas for scalar products in the XXZ Gaudin model with arbitrary boundary conditions, advancing the understanding of integrable models with non-diagonal boundaries.

Contribution

It provides the first explicit determinant representations for scalar products in the XXZ Gaudin model with general boundary terms.

Findings

Determinant formulas for scalar products derived

Applicable to models with non-diagonal boundary conditions

Enhances computational methods for integrable systems

Abstract

We obtain the determinant representations of the scalar products for the XXZ Gaudin model with generic non-diagonal boundary terms.