|Book Name:||[PDF] Shattered Symmetry – Group Theory from the Eightfold way to the Periodic Table by Pieter and Arnout|
Shattered Symmetry – Group Theory from the Eightfold way to the Periodic Table by Pieter and Arnout
Shattered symmetry: group theory from the eightfold way to the periodic table
Author(s): Ceulemans, Arnout; Thyssen, Pieter
Publisher: Oxford University Press, Year: 2017
The purpose of Shattered Symmetry is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev’s table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity.