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

в: arXiv, № 1112.6423, 2011, стр. 1-19.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Astashkevich, SA 2011, 'Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method', arXiv, № 1112.6423, стр. 1-19. <http://arxiv.org/abs/1112.6423>

APA

Astashkevich, S. A. (2011). Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method. arXiv, (1112.6423), 1-19. http://arxiv.org/abs/1112.6423

Vancouver

Astashkevich SA. Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method. arXiv. 2011;(1112.6423):1-19.

Author

Astashkevich, S. A. / Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method. в: arXiv. 2011 ; № 1112.6423. стр. 1-19.

BibTeX

@article{52d219c50753430aa40b03e4a462e53e,
title = "Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method",
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",
keywords = "matrix elements, vibration-rotation interaction, non-adiabatic effects, Herman-Wallis coefficients, factorization method",
author = "Astashkevich, {S. A.}",
year = "2011",
language = "не определен",
pages = "1--19",
journal = "arXiv",
publisher = "Cornell University",
number = "1112.6423",

}

RIS

TY - JOUR

T1 - Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. II. Analysis of the Vibration-Rotation Interaction by Means of the Factorization Method

AU - Astashkevich, S. A.

PY - 2011

Y1 - 2011

N2 - 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

AB - 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

KW - matrix elements

KW - vibration-rotation interaction

KW - non-adiabatic effects

KW - Herman-Wallis coefficients

KW - factorization method

M3 - статья

SP - 1

EP - 19

JO - arXiv

JF - arXiv

IS - 1112.6423

ER -

ID: 5301905