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Shattered Symmetry

Group Theory From the Eightfold Way to the Periodic Table

Format: Hardback
Publisher: Oxford University Press Inc, New York, United States
Published: 2nd Mar 2017
Dimensions: w 164mm h 242mm d 36mm
Weight: 888g
ISBN-10: 0190611391
ISBN-13: 9780190611392
Barcode No: 9780190611392
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Synopsis
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.

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It is a most fascinating story marrying mathematics, physics and chemistry that is a joy to read about, or work in. * Adhemar Bultheel, European Mathematical Society Reviews * Shattered Symmetry is a well-done textbook suitable for science students interested in learning the power and beauty of group theory and its applications... very useful also to experienced researchers looking for a comprehensive overview of the subject, till its latest applications, which, according to the authors, will open the gate to new challenges. * Salvatore Esposito, Contemporary Physics * ...it is a most fascinating story marrying mathematics, physics and chemistry that is a joy to read about, or work in. * Adhemar Bultheel, European Mathematical Society * 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. * Xavier Assfeld, Acta Cryst *