English

On symmetries of Hamiltonians describing systems with arbitrary spins

Nuclear Theory 2019-07-24 v1 High Energy Astrophysical Phenomena Quantum Physics

Abstract

We consider systems where dynamical variables are the generators of the SU(2) group. A subset of these Hamiltonians is exactly solvable using the Bethe ansatz techniques. We show that Bethe ansatz equations are equivalent to polynomial relationships between the operator invariants, or equivalently, between eigenvalues of those invariants.

Keywords

Cite

@article{arxiv.1905.00082,
  title  = {On symmetries of Hamiltonians describing systems with arbitrary spins},
  author = {Michael J. Cervia and Amol V. Patwardhan and A. B. Balantekin},
  journal= {arXiv preprint arXiv:1905.00082},
  year   = {2019}
}

Comments

8 Pages of LATEX; Dedicated to the memory of E. Henley