Titlebook: Space Group Representations; Theory, Tables and A Nikolai B. Melnikov,Boris I. Reser Book 2022 Springer Nature Switzerland AG 2022 Group Th

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书目名称Space Group Representations影响因子(影响力)




书目名称Space Group Representations影响因子(影响力)学科排名




书目名称Space Group Representations网络公开度




书目名称Space Group Representations网络公开度学科排名




书目名称Space Group Representations被引频次




书目名称Space Group Representations被引频次学科排名




书目名称Space Group Representations年度引用




书目名称Space Group Representations年度引用学科排名




书目名称Space Group Representations读者反馈




书目名称Space Group Representations读者反馈学科排名

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Conspiracy

纬线

,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

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

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

,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

,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

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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 [.,.,.]).