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分野別

商品コード: 9780190611392

Shattered Symmetry

販売価格(税込): 9,790 円  (本体価格: 9,065 円+税)
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分野別 > 数学 > 応用数学

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書名

Shattered Symmetry: Group Theory From the Eightfold Way to the Periodic Table
著者・編者 Thyssen, P. & Ceulemans, A.
出版社/発行元 Oxford University Press
発行年/月 2017年3月   
装丁 Hardcover
ページ数/巻数 528 ページ
ISBN 978-0-19-061139-2
発送予定 海外倉庫よりお取り寄せ 2-3週間以内に発送します

 

Desciption

 

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.

 

Contents:

 

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

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