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Algebraic approach to closed formulation of Kratzer potential integrals

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Abstract

In this work, closed form expressions for the calculation of the Kratzer potential integrals are obtained by means of a procedure based on the algebraic representation of the Kratzer eigenfunctions along with the usual ladder properties and commutation relations. For that, the exact formulae for matrix elements are achieved with the aid of the raising operator applied repeatedly over the ket and with the lowering operator acting reiteratively over the bra for the symmetric closed form expression. Comparatively, the formulae algebraically obtained in this work are quite similar to the ones derived from usual methods involving the evaluation of integrals. Besides, when considering some particular cases the results show that the closed formulae that comes from the algebraic procedure are an improvement to the closed form expressions already published.

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Authors and Affiliations

  1. Universidad Autónoma Metropolitana, Azcapotzalco, CBI-Area de Física, Av. San Pablo 180, 02200, México, D.F., Mexico

    J. Morales, J.J. Peña, G. Ovando & V. Gaftoi

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  1. J. Morales
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  2. J.J. Peña
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  3. G. Ovando
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  4. V. Gaftoi
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Morales, J., Peña, J., Ovando, G. et al. Algebraic approach to closed formulation of Kratzer potential integrals. Journal of Mathematical Chemistry 21, 273–283 (1997). https://doi.org/10.1023/A:1019130621201

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