English

Separation of variables for the classical and quantum Neumann model

High Energy Physics - Theory 2009-10-22 v1

Abstract

The method of separation of variables is shown to apply to both the classical and quantum Neumann model. In the classical case this nicely yields the linearization of the flow on the Jacobian of the spectral curve. In the quantum case the Schr\"odinger equation separates into one--dimensional equations belonging to the class of generalized Lam\'e differential equations.

Keywords

Cite

@article{arxiv.hep-th/9201035,
  title  = {Separation of variables for the classical and quantum Neumann model},
  author = {O. Babelon and M. Talon},
  journal= {arXiv preprint arXiv:hep-th/9201035},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-07-22T15:42:17.959Z