Q -systems provide an efficient way of solving Bethe equations. We formulate here Q -systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q -systems using novel discrete Wronskian-type formulas (relating the fundamental Q -function and its dual) that involve the boundary parameters.

中文翻译：

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带边界参数的Q系统

Q系统提供了一种解决Bethe方程的有效方法。我们在这里为带有对角边界磁场的各向同性和各向异性的开放海森堡量子自旋1/2链制定Q系统。我们使用涉及边界参数的新颖离散Wronskian型公式（与基本Q函数及其对偶有关）来检查这些Q系统。