Novel Group Theoretical Methods for Electron Structure Theory

2024
ISBN: 978-3-031-72801-3
Verlag: Springer Nature Switzerland

Buch, Englisch, 202 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 525 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Yarzhemsky, Victor G.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Chemie Physikalische Chemie Quantenchemie, Theoretische Chemie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Naturwissenschaften Chemie Chemie Allgemein

Inhaltsverzeichnis

Point Groups and Wavefunctions in Molecules.- Magnetic Groups and Their Applications.- Induced Representations Method in the Theory of Electron Structure.- Cooper Pairs as Two-electron States in Crystals.

Über Autor(innen)

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 andmethods 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.