Buren
发表于 2025-3-21 17:36:32
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delegate
发表于 2025-3-21 23:09:20
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Conspiracy
发表于 2025-3-22 02:12:09
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纬线
发表于 2025-3-22 05:33:53
,Scope and Overview,Nowadays both calculations and experiment provide an enormous amount of data that cannot be systematically studied without taking symmetry into account.
一窝小鸟
发表于 2025-3-22 10:16:04
Mathematical Preliminaries,This chapter gives a brief introduction to the representation theory of finite groups. We give only the most important proofs (for the rest we refer the reader to [., .]).
悄悄移动
发表于 2025-3-22 16:38:46
Projective Representations,In some problems of quantum mechanics it is necessary to consider, along with ordinary (vector) representations, the so-called projective representations of finite groups (also known as ray representations). For example, the double-valued representations are one of them
corporate
发表于 2025-3-22 20:53:12
,Representations of the Space Groups,Practical importance of symmetry analysis in quantum systems is demonstrated by the fundamental Wigner’s theorem (see Chap. .). According to this theorem, we can associate an irreducible representation of the symmetry group with each energy level of the system.
不幸的人
发表于 2025-3-22 23:01:26
,Group Theory and Quantum Mechanics,So far we have studied . groups and their representations. As an example, we considered crystallographic space groups. Now we get back to physics.
大火
发表于 2025-3-23 03:36:24
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相同
发表于 2025-3-23 05:43:50
Energy Band Calculation,In the previous chapter we have considered general properties of electrons in a crystal. Here we present the basics of the electronic energy band calculations and discuss in detail the use of symmetry in a simple but universal method, the orthogonal plane wave (OPW) method (see also [.,.,.]).