TY - BOOK

T1 - Novel Group Theoretical Methods for Electron Structure Theory

AU - Яржемский, Виктор Георгиевич

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - Electron Structure Theory

KW - Group Theory in Physics

KW - Induced Representation

KW - Point Group Theory

KW - Representations of Finite Groups

KW - Topological Superconductors

KW - Two-electron States

KW - Unconventional Superconductors

UR - https://link.springer.com/book/10.1007/978-3-031-72802-0

UR - https://www.mendeley.com/catalogue/0aef8428-951e-39b1-b36c-870f1c7c1425/

U2 - 10.1007/978-3-031-72802-0

DO - 10.1007/978-3-031-72802-0

M3 - Book

SN - 9783031728020

BT - Novel Group Theoretical Methods for Electron Structure Theory

PB - Springer Nature

ER -