Applied Group Theory: For Physicists and Chemists (Paperback)

George H. Duffey

  • 出版商: Dover Publications
  • 出版日期: 2015-02-18
  • 售價: $820
  • 貴賓價: 9.8$804
  • 語言: 英文
  • 頁數: 384
  • 裝訂: Paperback
  • ISBN: 0486783146
  • ISBN-13: 9780486783147
  • 下單後立即進貨 (約5~7天)

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商品描述

<內容簡介>

This text introduces advanced undergraduates and graduate students to symmetry relations by means of group theory. Key relationships are derived in detail from first principles. Rather than matrix theory, the treatment employs algebraic theory in deriving the properties of characters and projection operators. This approach is customarily employed in quantum mechanics courses and makes the connection to group structure clearer. Cayley diagrams illustrate the structure of finite groups. Permutation groups are considered in some detail, and the special methods needed for continuous groups are developed.
The treatment's broad range of applications offers students assistance in analyzing the modes of motion of symmetric classical systems; the constitutive relations in crystalline systems; the modes of vibration in molecules; the molecular orbitals of molecules; the electronic structures of atoms; the attendant spectra; and fundamental particle multiplets. Each chapter concludes with a concise review, discussion questions, problems, and references.

商品描述(中文翻譯)

這本書介紹了對稱關係的群論方法,適用於高年級本科生和研究生。關鍵的關係從基本原理中詳細推導出來。與矩陣理論不同,本書使用代數理論來推導特徵和投影算子的性質。這種方法通常在量子力學課程中使用,並且使群結構與之相關更加清晰。凱莉圖解說了有限群的結構。詳細討論了置換群,並且介紹了連續群所需的特殊方法。

本書的廣泛應用範圍為學生提供了分析對稱古典系統的運動模式的幫助;晶體系統中的構成關係;分子的振動模式;分子軌道;原子的電子結構;相應的光譜;以及基本粒子多重態。每章結束時都有簡明的回顧、討論問題、問題和參考文獻。