A.V. Mikhailov, "Quantisation ideals of nonabelian integrable systems", accepted for publication at Russian Mathematical Surveys (2020)

Опубликовано skonstantin - вс, 06/09/2020 - 09:21

Abstract: We consider dynamical systems on the space of functions taking values in a free associative algebra [1, 2]. 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.