The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


The Classical and Quantum 6j-symbols. (MN-43)

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J. Scott Carter 作者
Princeton University Press
譯者
1995-12-11 出版日期
168 頁數
USD 50.00 價格
Paperback
叢書系列
9780691027302 圖書編碼

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The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 著者簡介


The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 著者簡介


The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Classical and Quantum 6j-symbols. (MN-43) 在線電子書 圖書描述

Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, this work is useful to graduate students and professionals. The classic subject of representations of U(sl(2)) is equivalent to the physicists' theory of quantum angular momentum. This material is developed in an elementary way using spin-networks and the Temperley-Lieb algebra to organize computations that have posed difficulties in earlier treatments of the subject. The emphasis is on the 6j-symbols and the identities among them, especially the Biedenharn-Elliott and orthogonality identities. The chapter on the quantum group U q (sl(2)) develops the representation theory in strict analogy with the classical case, wherein the authors interpret the Kauffman bracket and the associated quantum spin-networks algebraically. The authors then explore instances where the quantum parameter q is a root of unity, which calls for a representation theory of a decidedly different flavor. The theory in this case is developed, modulo the trace zero representations, in order to arrive at a finite theory suitable for topological applications. The Turaev-Viro invariant for 3-manifolds is defined combinatorially using the theory developed in the preceding chapters. Since the background from the classical, quantum, and quantum root of unity cases has been explained thoroughly, the definition of this invariant is completely contained and justified within the text.

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