Novel Group Theoretical Methods for Electron Structure Theory
暫譯: 電子結構理論的新穎群論方法
Yarzhemsky, Victor G.
- 出版商: Springer
- 出版日期: 2025-02-23
- 售價: $5,910
- 貴賓價: 9.5 折 $5,615
- 語言: 英文
- 頁數: 202
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031728017
- ISBN-13: 9783031728013
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商品描述
This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors.
商品描述(中文翻譯)
本書介紹了誘導表示法，這是一種在量子力學中強大的技術，並在凝聚態物理中有應用。在介紹理解該技術所需的群論和表示論的關鍵概念後，作者進一步探討了在電子結構理論中的應用，即：簇中的基組、正常振動、選擇規則、兩電子波函數以及空間群表示。這種技術使得分子軌道和分子正常振動的分析標準技術得以簡化。基於安德森假設（Anderson ansatz）和麥基-布拉德利定理（Mackey-Bradley theorem），發展了一種針對庫珀對（Cooper pair）波函數的空間群方法，並考慮了幾個應用，即群論節點、非對稱群以及將群論和拓撲方法統一應用於非常規超導體中庫珀對結構的研究。
作者簡介
Victor G. Yarzhemsky, Dr.Sc., is a researcher at the N.S. Kurnakov Institute of General and Inorganic Chemistry (Russian Academy of Sciences) and at National Research Center "Kurchatov Institute". His previous positions include a fellowship at Melbourne University, and Moscow Institute of Physics and Technology. His research interests include group-theoretical and ab initio methods for molecules and solids, and also many-electron effects in atomic photoionization. He was awarded the N.N. Semenov Medal by the Academy of Engineering Sciences of the Russian Federation and is the author of one previous book, Handbook of Theoretical Atomic Physics (Springer 2012) co-authored with M.Ya Amusia and L.V. Chernysheva.
作者簡介(中文翻譯)
維克多·G·雅爾傑姆斯基（Victor G. Yarzhemsky），博士，為俄羅斯科學院N.S.庫爾納科夫一般及無機化學研究所及國家研究中心「庫爾恰托夫研究所」的研究員。他曾擔任墨爾本大學的研究員，以及莫斯科物理技術學院的職位。他的研究興趣包括分子和固體的群論及從頭算方法，以及原子光電離中的多電子效應。他獲得了俄羅斯聯邦工程科學院頒發的N.N.塞梅諾夫獎章，並且是之前一本書《理論原子物理手冊》（Handbook of Theoretical Atomic Physics，Springer 2012）的作者之一，該書與M.Ya Amusia和L.V.切爾尼雪娃共同合著。
