This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, the group of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.
The Mathematical Theory of Symmetry in Solids Representation Theory for Point Groups and Space Groups PDF Free Download
November 23, 2022
You may also like
APPLIED MATHEMATICS
Basic Theory of Fractional Differential Equations 2nd Edition by Yong Zhou PDF
June 28, 2024
This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential...
APPLIED MATHEMATICS
Finite Mathematics & Its Applications 11th Edition by Larry J. Goldstein PDF
June 26, 2024
Finite Mathematics, Eleventh Edition is a comprehensive, yet flexible, text for students majoring in business, economics, life science, or social sciences. The...
This book is intended to help you to prepare for your University of Cambridge International A and AS level physics examinations. It is a revision guide, which...
Recent Posts
- Nuclear Physics Exploring the Heart of Matter PDF
- Applied Physics Crash Course by Arthur Beiser PDF
- Variational Principles in Physics by Jean-Louis Basdevant PDF
- Analytical Chemistry by Dhruba Charan Dash PDF
- Handbook of Modern Sensors Physics, Designs, and Applications 3rd Edition by Jacob Fraden PDF
Add Comment