On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F12%3A%230004526" target="_blank" >RIV/47813059:19240/12:#0004526 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/qua.24262/full" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/qua.24262/full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/qua.24262" target="_blank" >10.1002/qua.24262</a>

Result language
angličtina
Original language name
On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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