Quantisation ideals of nonabelian integrable systems
Exactly Solvable and Integrable Systems
2021-10-20 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We consider dynamical systems on the space of functions taking values in a free associative algebra. The system is said to be integrable if it possesses an infinite dimensional Lie algebra of commuting symmetries. In this paper we propose a new approach to the problem of quantisation of dynamical systems, introduce the concept of quantisation ideals and provide meaningful examples.
Cite
@article{arxiv.2009.01838,
title = {Quantisation ideals of nonabelian integrable systems},
author = {Alexander V. Mikhailov},
journal= {arXiv preprint arXiv:2009.01838},
year = {2021}
}
Comments
2 pages, accepted for publication by Russian Mathematical Surveys