Abstract
A simple approximate scheme for treating molecular hyperfine structure is developed by taking account of energy-level clusters. Unitary tableau and frame transformation techniques are reintroduced. Model Hamiltonians for and ( spin-zero, spin-½) molecules are developed and solved in cluster bases which are appropriate for highly excited rotational states. Two cases emerge: Case (1) for which hyperfine splittings are smaller than the "superfine" cluster splittings and case (2) for which superfine splittings are negligible or zero. The problem of correlating energy levels and states between cases (1) and (2) is solved. Since the problem in the elementary cluster bases reduces to (2×2) matrices at the worst, the physical interpretation of solutions is not difficult.
- Received 10 August 1978
DOI:https://doi.org/10.1103/PhysRevA.19.2277
©1979 American Physical Society