标题： 精确可解的相互作用两粒子量子图 显示英文标题

标题： Exactly solvable interacting two-particle quantum graphs

摘要： 我们构建了具有特定非局部两粒子相互作用的精确可解两粒子量子图模型，通过两粒子拉普拉斯算子的适当自伴实现来确定边界条件。 显示与Bethe假设方法的兼容性，我们从特征方程形式的量化条件中计算出光谱，从而得出光谱。 我们将一些示例的光谱统计与随机矩阵理论中的已知结果进行比较，分析其经典对应物的混沌特性。 显示英文摘要

摘要： We construct models of exactly solvable two-particle quantum graphs with certain non-local two-particle interactions, establishing appropriate boundary conditions via suitable self-adjoint realisations of the two-particle Laplacian. Showing compatibility with the Bethe ansatz method, we calculate quantisation conditions in the form of secular equations from which the spectra can be deduced. We compare spectral statistics of some examples to well known results in random matrix theory, analysing the chaotic properties of their classical counterparts.