Atmospheric and Oceanic Optics

, Volume 23, Issue 3, pp 165–168 | Cite as

The use of continued fractions to describe the highly excited rotational states of a H2O molecule

  • V. I. Starikov
Spectroscopy of Ambient Medium


Continued fractions D(a, x) were used in the analysis of the highly excited (J ≤ 42, K a ≤ 32) rotational levels of the first eight vibrational states of a H2 16O molecule. The fractions depend on the rotational operator J z , 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.


Oceanic Optic Continue Fraction Vibrational State Integral Parameter Incomplete Gamma Function 
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© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • V. I. Starikov
    • 1
  1. 1.Tomsk State University of Control Systems and RadioelectronicsTomskRussia

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