标题： 求解苏瑟兰模型的算法 显示英文标题

标题： Algorithms to solve the Sutherland model

摘要： 我们给出两种不同算法的自包含表述和比较，以显式求解在圆上运动且通过二体势相互作用的不可区分粒子的量子多体模型，其势能类型为$1/\sin^2$型。 第一个算法由 Sutherland 提出并广为人知；第二个算法是求解 Sutherland 模型椭圆推广的新算法的一个极限情况。 这两个算法在多个细节上有所不同。 我们证明它们是等价的，即它们产生相同的解，并且同样简单。 显示英文摘要

摘要： We give a self-contained presentation and comparison of two different algorithms to explicitly solve quantum many body models of indistinguishable particles moving on a circle and interacting with two-body potentials of $1/\sin^2$-type. The first algorithm is due to Sutherland and well-known; the second one is a limiting case of a novel algorithm to solve the elliptic generalization of the Sutherland model. These two algorithms are different in several details. We show that they are equivalent, i.e., they yield the same solution and are equally simple.