A new approach to the molecular rotational hamiltonian |
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Authors: | R. Wertheimer |
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Affiliation: | 1. U.F.R. de Physique, Université des Sciences et Techniques de Lille Flandres Artois, F-59655, Villeneuve d'Ascq Cédex, France
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Abstract: | The present paper is devoted to a new approach of the rotational hamiltonian of a non degenerate vibronic state of the semi-rigid molecules. It is based upon two points. Firstly the hermitian operators on a finiten dimensional vector space belong to an 2 dimensional euclidian vector space. Secondly, the vector space of the rotational states is a direct sum of irreducible representations of the rotation group. Accordingly in each one of those representations the rotational hamiltonian can be represented by its set of real components on a orthonormal basis of hermitian operators. The components of the reduced hamiltonian of Watson limited to its quartic terms are determined. |
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