2016/02/28 by Bradley Klee, Klee, Bradley
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Atomic and Molecular Physics #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1602.08774
7 pages, 2 tables, 2 figures
arxiv created 2016/02/28 · openalex publication_date 2016/02/28 · arxiv updated 2016/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Jordan-Schwinger form of the quantum angular momentum eigenstates, it is straight-forward to define rotational correlation tables such that the columns are Molien sequences for finite rotational subgroup G. This realization gives a new and better means of calculation. Generalization to unitary symmetry U(n) implies many more sequences, which determine degeneracy observables in the context of electronic, vibrational, and rotational motion. This leads us to discuss one physical significance of the Hilbert finite basis theorem.