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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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
Authors HUBAČ, Ivan and S. WILSON.
Edition International Journal of Quantum Chemistry, US - Spojené státy americké, 2012, 0020-7608.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10301 Atomic, molecular and chemical physics
Confidentiality degree is not subject to a state or trade secret
WWW www
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.1002/qua.24262
UT WoS 000306917800016
Keywords in English Symmetric group; Electron pairs; Electron groups; Graphical methods; Representation matrices
Tags UF
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 11/2/2021 14:22.
Abstract
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.
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