Algebraic solutions for all dihedral groups
DOI10.1063/1.1286513zbMath0978.20009OpenAlexW2024314288MaRDI QIDQ2731833
Peng-Dong Fan, Luke F. McAven, Jin-Quan Chen, Philip H. Butler
Publication date: 30 July 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1286513
irreducible representationsdihedral groupspoint groupsClebsch-Gordan coefficientsprimitive characterssymmetry adapted functions
Ordinary representations and characters (20C15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35)
Uses Software
Cites Work
- Point group symmetries and Gaussian integration
- Calculating spin-orbit matrix elements with RACAH
- Simplification in Finding Symmetry-Adapted Eigenfunctions
- Algebraic expressions for symmetry-adapted functions of the icosahedral group in spinor space
- Recursive calculation of transformation factors in terms of primitive factors
- j symbols and jm factors for all dihedral and cyclic groups
- Coupling coefficients and tensor operators for chains of groups
- Algebraic solutions for point groups: The tetrahedral group for the group chain T⊃C3
- Algebraic solutions for point groups: The tetrahedral group for the group chain T⊃D2⊃C2
- Algebraic expressions of the Clebsch-Gordon coefficients of the point group T†
- 3jm factors and basis functions for D∞hand C∞v
- A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium
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