The use of continued fractions to describe the highly excited rotational states of a H<sub>2</sub>O molecule

Abstract

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.

Original language	English
Pages (from-to)	165-168
Number of pages	4
Journal	Atmospheric and Oceanic Optics
Volume	23
Issue number	3
DOIs	https://doi.org/10.1134/S1024856010030012
Publication status	Published - 1 Jun 2010

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Atmospheric Science
Earth-Surface Processes
Oceanography

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10.1134/S1024856010030012

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abstract = "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.",

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

Abstract

ASJC Scopus subject areas

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