Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic Determination of Spectral Characteristics of Rovibrational
  States of Diatomic Molecules. II. Analysis of the Vibration-Rotation
  Interaction by Means of the Factorization Method   An algebraic model taking into account the influence of the molecular
rotation on the wave functions of vibrational-rotational states of the diatomic
molecule using the formalism of the ladder operators and an expansion in a
small parameter characterizing the vibrational-rotational interaction have been
proposed for the potentials whose the creation and annihilation operators can
be constructed. Expressions for the expansion of the wave function of the
vibrational-rotational states in a set of wave functions of the rotationless
vibrational states have been obtained of the second order in the parameter.
Using these expressions and the formulas obtained in our previous paper the
algebraic expressions for the expansion of the dependences of matrix elements
in a set of matrix elements on the wave functions of the rotationless ground
vibrational states have been obtained for arbitrary functions of internuclear
distance and arbitrary values of the vibrational and rotational quantum numbers
of the combined states. The cases of the harmonic oscillator and the Morse
potential were analyzed. The explicit algebraic formulas for the vibrational
dependences of the first five Herman-Wallis coefficients have been derived for
arbitrary values of the vibrational quantum numbers of the combining states.
The possibility of taking into account the influence of non-adiabatic effects
on the vibrational and rotational dependences of matrix elements is considered.

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The categories of this paper are: stat
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The categories of this paper are: cs
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an