Quantifying Algebraic Asymmetry of Hamiltonian Systems.

2019-11-29
Date: 2019-11-29
Time: 12:15
Location: Institute of Theoretical Physics and Astrophysics (IFTiA), Wita Stwosza 57, Gdansk (Faculty of Mathematics, Physics and Informatics UG, lecture room no. 361).
ICTQT Seminar

Speaker: Huihui Qin (Beijing Computational Science Research Center) 

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 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.

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