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Matrix Factorization for an SO(2) Spinning Top and Related Problems

Mathematical Physics 2007-05-23 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

We study the matrix factorization problem associated with an SO(2) spinning top by using the algebro-geometric approach. We derive the explicit expressions in terms of Riemann theta functions and discus some related problems including a non-compact extension and the case when the Lax matrix contains higher-order powers of the spectral parameter.

Keywords

Cite

@article{arxiv.math-ph/0001003,
  title  = {Matrix Factorization for an SO(2) Spinning Top and Related Problems},
  author = {Aleksandar Mikovic},
  journal= {arXiv preprint arXiv:math-ph/0001003},
  year   = {2007}
}

Comments

11 pages, Latex