Superintegrability of stratified symplectic spaces
Zhuo Chen, Kai Jiang, Nicolai Reshetikhin, Husileng Xiao
Abstract
We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase space is a stratified symplectic space obtained by the Hamiltonian reduction of the cotangent bundle over a compact Lie group, and demonstrate that the sCMS systems for SU(3) are superintegrable.
Create a lesson
Related papers
Asymptotic long-range order for the XY-model on random geometric graphs
Margherita Disertori, Max Mihailescu
Ruelle--Pollicott Theory for Metastable Systems: A Unified Framework for Tipping Transitions
Mickaël D. Chekroun, Valerio Lucarini
Bimaterial Eshelby's inclusion problem for polyhedra
Chunlin Wu, Huiming Yin
Precise spectral asymptotics, exponential localization, and spectral gap estimates for the three-boson lattice Schrödinger operator
Abdikhurayra Toshturdiev, Abdumalik Eshniyozov, Janikul Abdullaev et al.
Heat transfer problem of a dense gas described by the Enskog equation with a modification of the Enskog factor
Shigeru Takata, Soma Sakata, Masanari Hattori
On the Convergence of Metadynamics with Gaussian Hills
Andrey Badanin, Olga Rogacheva