Completely integrable systems with a symmetry in coordinates
type: Item
instance of: scholarly article
title: Completely integrable systems with a symmetry in coordinates
zbMATH Open document ID: 0965.37055
author: Toshio Oshima
published in: The Asian Journal of Mathematics
publication date: 2000-11-15T00:00:00Z
review text: This paper is devoted to completely integrable quantum or classical dynamical systems. Most of them are invariant under the action of the corresponding Weyl groups. The main goal is to determine all the completely integrable systems with this invariance property. The author explicitly constructs the integrals of completely integrable quantum or classical systems whose potential functions are invariant under the action of a classical Weyl group. Both potential functions and integrals are expressed by Weierstrass elliptic function.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 33C90
Mathematics Subject Classification ID: 35Q58
zbMATH DE Number: 1531017
zbMATH Keywords: quantum system
zbMATH Keywords: completely integrable
zbMATH Keywords: Weyl group
zbMATH Keywords: symmetry
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
DOI: 10.4310/AJM.1998.V2.N4.A13
description: scientific article; zbMATH DE number 1531017