Continued fractions D(a, x) were used in the analysis of the highly excited (J ≤ 42, Ka ≤ 32) rotational levels of the first eight vibrational states of a H2 16O molecule. The fractions depend on the rotational operator Jz, defined by the variable x, and the shape parameter a, which determines the asymptotic behavior of the calculated energy levels. Continued fractions D(a, x) are new forms of the generating functions for the effective rotational Hamiltonian of some nonrigid molecule of the H2X type.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Atmospheric Science
- Earth-Surface Processes