Detailed Information on Publication Record
2012
On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras
HUBAČ, Ivan and S. WILSONBasic information
Original name
On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras
Authors
HUBAČ, Ivan and S. WILSON
Edition
International Journal of Quantum Chemistry, US - Spojené státy americké, 2012, 0020-7608
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10301 Atomic, molecular and chemical physics
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Organization unit
Faculty of Philosophy and Science in Opava
UT WoS
000306917800016
Keywords in English
Symmetric group; Electron pairs; Electron groups; Graphical methods; Representation matrices
Tags
Tags
International impact, Reviewed
Změněno: 11/2/2021 14:22, Mgr. Pavlína Jalůvková
Abstract
V originále
Using graphical methods of spin algebras, we present a direct method for the determination of the representation matrices of the symmetric group in a basis adapted to electron-pair and electron-group wave functions. In particular, we consider nonstandardrepresentations adapted to S-n1 x S-n2 x ... x S-nt where n(1) + n(2) + ... + n(t) = n. The Serber coupling scheme based on S-2 x S-2 x ... x S-2 is a special case suited for electron-pair wave functions. Our approach exploiting graphical methods of spin algebras is contrasted with the use of Young diagrams and tableaux, Yamanouchi symbols and branching diagrams.