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Generalization of the Functional Method as a Summation Technique of Perturbation Series

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Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 53))

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Abstract

As seen previously the application of the RSPT is frequently linked to the problem of summing divergent power series expansions. Precedent chapters were devoted to show the use of the VFM as a systematic way to construct expressions for eigenvalues associated with some quantum mechanical systems.Such formulas provide a working scheme, suitable to introduce the information brought forth by PT. The remaining of this book will consider the generalization of the VFM as a summation technique of divergent power series.

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Authors and Affiliations

  1. División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    G. A. Arteca, F. M. Fernández & E. A. Castro

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  1. G. A. Arteca
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  2. F. M. Fernández
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  3. E. A. Castro
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© 1990 Springer-Verlag Berlin Heidelberg

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Arteca, G.A., Fernández, F.M., Castro, E.A. (1990). Generalization of the Functional Method as a Summation Technique of Perturbation Series. In: Large Order Perturbation Theory and Summation Methods in Quantum Mechanics. Lecture Notes in Chemistry, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93469-8_14

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  • DOI: https://doi.org/10.1007/978-3-642-93469-8_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52847-0

  • Online ISBN: 978-3-642-93469-8

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