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

Результат исследований: Научные публикации в периодических изданияхстатья

Аннотация

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
Язык оригиналане определен
Страницы (с-по)1-19
ЖурналarXiv
Номер выпуска1112.6423
СостояниеОпубликовано - 2011

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