HUBAČ, Ivan and S. WILSON. On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras. International Journal of Quantum Chemistry. US - Spojené státy americké, 2012, vol. 112, 18 SI, p. 3098-3109. ISSN 0020-7608. Available from: https://dx.doi.org/10.1002/qua.24262. |
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@article{46720, author = {Hubač, Ivan and Wilson, S.}, article_location = {US - Spojené státy americké}, article_number = {18 SI}, doi = {http://dx.doi.org/10.1002/qua.24262}, keywords = {Symmetric group; Electron pairs; Electron groups; Graphical methods; Representation matrices}, language = {eng}, issn = {0020-7608}, journal = {International Journal of Quantum Chemistry}, title = {On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras}, url = {https://onlinelibrary.wiley.com/doi/full/10.1002/qua.24262}, volume = {112}, year = {2012} }
TY - JOUR ID - 46720 AU - Hubač, Ivan - Wilson, S. PY - 2012 TI - On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras JF - International Journal of Quantum Chemistry VL - 112 IS - 18 SI SP - 3098-3109 EP - 3098-3109 SN - 00207608 KW - Symmetric group KW - Electron pairs KW - Electron groups KW - Graphical methods KW - Representation matrices UR - https://onlinelibrary.wiley.com/doi/full/10.1002/qua.24262 N2 - 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. ER -
HUBAČ, Ivan and S. WILSON. On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras. \textit{International Journal of Quantum Chemistry}. US - Spojené státy americké, 2012, vol.~112, 18 SI, p.~3098-3109. ISSN~0020-7608. Available from: https://dx.doi.org/10.1002/qua.24262.
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