Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method

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Abstract

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 the internuclear distance and arbitrary values of the vibrational and rotational quantum numbers of the combining stat
Original languageUndefined
Pages (from-to)1-19
JournalarXiv
Issue number1112.6423
StatePublished - 2011

Keywords

  • matrix elements
  • vibration-rotation interaction
  • non-adiabatic effects
  • Herman-Wallis coefficients
  • factorization method

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