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摘要
Aclass of N-body problems is identified, characterized by second-order discrete-time evolution equations determining the motion in the complex z-plane of an arbitrary number N of points z(n) = z(n) (l), where l = 0,+/- 1,+/- 2, ... is the discrete-time independent variable. Both these equations of motion, and the solution of their initial-value problem, only involve algebraic operations: finding the zeros of explicitly known polynomials of degree N in z, finding the eigenvectors and eigenvalues of explicitly known N x N matrices. These models feature an arbitrarily large number of arbitrary parameters ("coupling constants").
- 出版日期2014-8
