Algorithms to solve the Sutherland model

Details Algorithms to solve the Sutherland model Algorithms to solve the Sutherland model

2001-04-27

arxiv.org/abs/math-ph/0104039v1

J.Math.Phys.42 (2001) 4148-4157

Physics

Mathematical Physics

15 pages, LaTex

Scientific paper

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.

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