Method of the effective flexible gyroscope in polyatomic molecules

Abstract

On the basis of the general equations of perturbation theory a procedure is suggested for the partial diagonalization of the vibrational-rotational Hamiltonian of a molecule with respect to the vibrational quantum numbers of a nondegenerate vibrational state. Equations are derived for the complete vibrational-rotational wave function and the "effective" rotational Hamiltonian, which is constructed in such a way that the total energy is represented in the form of a sum of the vibrational and rotational energies.

Original language	English
Pages (from-to)	1106-1109
Number of pages	4
Journal	Soviet Physics Journal
Volume	18
Issue number	8
DOIs	https://doi.org/10.1007/BF01110030
Publication status	Published - 1 Aug 1975
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF01110030

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title = "Method of the effective flexible gyroscope in polyatomic molecules",

abstract = "On the basis of the general equations of perturbation theory a procedure is suggested for the partial diagonalization of the vibrational-rotational Hamiltonian of a molecule with respect to the vibrational quantum numbers of a nondegenerate vibrational state. Equations are derived for the complete vibrational-rotational wave function and the {"}effective{"} rotational Hamiltonian, which is constructed in such a way that the total energy is represented in the form of a sum of the vibrational and rotational energies.",

author = "Makushkin, {Yu S.} and Ulenikov, {O. N.}",

year = "1975",

month = aug,

day = "1",

doi = "10.1007/BF01110030",

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journal = "Russian Physics Journal",

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N2 - On the basis of the general equations of perturbation theory a procedure is suggested for the partial diagonalization of the vibrational-rotational Hamiltonian of a molecule with respect to the vibrational quantum numbers of a nondegenerate vibrational state. Equations are derived for the complete vibrational-rotational wave function and the "effective" rotational Hamiltonian, which is constructed in such a way that the total energy is represented in the form of a sum of the vibrational and rotational energies.

AB - On the basis of the general equations of perturbation theory a procedure is suggested for the partial diagonalization of the vibrational-rotational Hamiltonian of a molecule with respect to the vibrational quantum numbers of a nondegenerate vibrational state. Equations are derived for the complete vibrational-rotational wave function and the "effective" rotational Hamiltonian, which is constructed in such a way that the total energy is represented in the form of a sum of the vibrational and rotational energies.

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