Research output: Contribution to journal › Article
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.
In: arXiv, No. 1112.6423, 2011, p. 1-19.Research output: Contribution to journal › Article
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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