J
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. WILSON
Basic 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
Edition
International Journal of Quantum Chemistry, US - Spojené státy americké, 2012, 0020-7608
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10301 Atomic, molecular and chemical physics
Confidentiality degree
není předmětem státního či obchodního tajemství
Organization unit
Faculty of Philosophy and Science in Opava
Keywords in English
Symmetric group; Electron pairs; Electron groups; Graphical methods; Representation matrices
Tags
International impact, Reviewed
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.
Displayed: 25/12/2024 18:11