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Zusatztext The subtitle of this marvellous book could have been: All you always wanted to know about Lie groups, but were too afraid to ask. Most of the time, books dealing with such a subject propose a mathematical treatment that goes well beyond the basic calculus knowledge of physicists and chemists. This one uses simple calculus and takes the reader by the hand through all chapters in a step-by-step way; difficulties are handled gradually in a very pedagogical presentation. Informationen zum Autor Pieter Thyssen is a Postdoctoral Researcher at the Catholic University of Leuven. He completed his PhD in Theoretical Chemistry in 2013, and is currently working on a second PhD in the Philosophy and Foundations of Physics. Arnout Ceulemans is Professor of Theoretical Chemistry at the Catholic University of Leuven. His research is devoted to the development and application of group theory and topology to chemistry. Klappentext Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. 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. Zusammenfassung Symmetry and its breaking is at the heart of our understanding of matter. The book tells the tale of twoconstituents of matter quarks and atoms from a common symmetry perspective. Inhaltsverzeichnis 1. A primer on symmetry 2. The elements of group theory 3. The axial rotation group 4. The SO(2) group 5. The SO(3) group 6. Scholium I 7. The SU(3) group 8. SU(2) and electron spin 9. The SO(4) group 10. Scholium II 11. The SO(2,1) group 12. The SO(4,2) group 13. The periodic table 14. SO(4,2) and the rules of atomic chess ...
