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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
19/2020

Quantifying Algebraic Asymmetry of Hamiltonian Systems

Hui-Hui Qin, Shao-Ming Fei and Chang-Pu Sun

Abstract

The symmetries play important roles in physical systems. We study the symmetries of a Hamiltonian system by investigating the asymmetry of the Hamiltonian with respect to certain algebras. We define the asymmetry of an operator with respect to an algebraic basis in terms of their commutators. Detailed analysis is given to the Lie algebra $\mathfrak{su}(2)$ and its $q$-deformation. The asymmetry of the $q$-deformed integrable spin chain models is calculated. The corresponding geometrical pictures with respect to such asymmetry is presented.

Received:
Feb 2, 2020
Published:
Feb 3, 2020

Related publications

inJournal
2020 Repository Open Access
Huihui Qin, Shao-Ming Fei and Chang-Pu Sun

Quantifying algebraic asymmetry of Hamiltonian systems

In: Journal of physics / A, 53 (2020) 3, p. 035203