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Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements. / Astashkevich, S. A.

в: arXiv, № 1112.6409, 2011, стр. 1-17.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Astashkevich, SA 2011, 'Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements', arXiv, № 1112.6409, стр. 1-17. <http://arxiv.org/abs/1112.6409>

APA

Astashkevich, S. A. (2011). Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements. arXiv, (1112.6409), 1-17. http://arxiv.org/abs/1112.6409

Vancouver

Astashkevich SA. Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements. arXiv. 2011;(1112.6409):1-17.

Author

Astashkevich, S. A. / Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements. в: arXiv. 2011 ; № 1112.6409. стр. 1-17.

BibTeX

@article{5a903e6ebd314911a7b9530526ef3425,
title = "Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements",
abstract = "Explicit algebraic expressions for the expansion of the vibrational matrix elements in series of matrix elements on the wave functions of the ground vibrational state have been obtained for arbitrary sufficiently differentiable functions of the internuclear distance, arbitrary values v and v', and the potential curves whose ladder operators can be constructed. A diagram technique have been developed for it that consists in: 1) the numeration of the matrix elements by points of the 2D diagram with coordinates (l, k), 2) the drawing arrows between points of this diagram corresponding to the action of the annihilation operators on the wave functions; 3) total taking into account of all possible path vectors formed by the continuous sequences of arrows from point (v, v) towards points (0, k). The only requirement is that the action of the operator on the wave functions should give the wave functions of the Schroedinger equation with the potential curve having the same parameter values. All necessary data for alge",
keywords = "vibrational matrix elements, algebraic methods, ladder operators, diagram technique",
author = "Astashkevich, {S. A.}",
year = "2011",
language = "не определен",
pages = "1--17",
journal = "arXiv",
publisher = "Cornell University",
number = "1112.6409",

}

RIS

TY - JOUR

T1 - Algebraic Determination of Spectral Characteristics of Rovibrational States of Diatomic Molecules. I. Diagram Technique for Determination of Vibrational Dependences of Matrix Elements

AU - Astashkevich, S. A.

PY - 2011

Y1 - 2011

N2 - Explicit algebraic expressions for the expansion of the vibrational matrix elements in series of matrix elements on the wave functions of the ground vibrational state have been obtained for arbitrary sufficiently differentiable functions of the internuclear distance, arbitrary values v and v', and the potential curves whose ladder operators can be constructed. A diagram technique have been developed for it that consists in: 1) the numeration of the matrix elements by points of the 2D diagram with coordinates (l, k), 2) the drawing arrows between points of this diagram corresponding to the action of the annihilation operators on the wave functions; 3) total taking into account of all possible path vectors formed by the continuous sequences of arrows from point (v, v) towards points (0, k). The only requirement is that the action of the operator on the wave functions should give the wave functions of the Schroedinger equation with the potential curve having the same parameter values. All necessary data for alge

AB - Explicit algebraic expressions for the expansion of the vibrational matrix elements in series of matrix elements on the wave functions of the ground vibrational state have been obtained for arbitrary sufficiently differentiable functions of the internuclear distance, arbitrary values v and v', and the potential curves whose ladder operators can be constructed. A diagram technique have been developed for it that consists in: 1) the numeration of the matrix elements by points of the 2D diagram with coordinates (l, k), 2) the drawing arrows between points of this diagram corresponding to the action of the annihilation operators on the wave functions; 3) total taking into account of all possible path vectors formed by the continuous sequences of arrows from point (v, v) towards points (0, k). The only requirement is that the action of the operator on the wave functions should give the wave functions of the Schroedinger equation with the potential curve having the same parameter values. All necessary data for alge

KW - vibrational matrix elements

KW - algebraic methods

KW - ladder operators

KW - diagram technique

M3 - статья

SP - 1

EP - 17

JO - arXiv

JF - arXiv

IS - 1112.6409

ER -

ID: 5301881