1.

Record Nr.

UNINA9910983367303321

Autore

Yarzhemsky Victor

Titolo

Novel Group Theoretical Methods for Electron Structure Theory / / by Victor G. Yarzhemsky

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

9783031728020

3031728025

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (498 pages)

Disciplina

530.41

Soggetti

Condensed matter

Topological insulators

Superconductors - Chemistry

Group theory

Quantum chemistry

Condensed Matter Physics

Topological Material

Strongly Correlated Systems

Superconductors

Group Theory and Generalizations

Quantum Chemistry

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.