2020/05/08 by Arnout Ceulemans, Ceulemans, Arnout
Materials Science · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Magnetism in coordination complexes #Organic and Molecular Conductors Research #Quantum Physics (quant-ph) #Rare-earth and actinide compounds
paper · pdf · doi:10.48550/arxiv.2005.06280
openalex publication_date 2020/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A threefold degenerate electronic state is Jahn-Teller unstable with respect to symmetry lowering distortions, which transform as the five quadrupolar modes. The solution of the corresponding vibronic Hamiltonian is constructed using the analytical method introduced by Bargmann, as an alternative to existing group-theoretical methods based on coefficients of fractional parentage. It involves the construction of an Ansatz which incorporates SO(5) to SO(3) symmetry breaking. The resulting Jahn-Teller equations are derived, and solved in terms of radial polynomials and Gegenbauer functions.