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Large Order Perturbation Theory and Summation Methods in Quantum Mechanics pp 415–454Cite as

Properties of the FM: Series with Zero Convergence RADII

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

Abstract

This section starts the analysis of models with power series expansions with zero convergence radius. Our first aim is to apply the formalism developed in §.44 to a simple model with the above features and to determine the conditions under which the FM leads to a convergent sequence.

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References of chapter XV

  1. R. Seznec and J. Zinn-Justin, J. Math. Phys. 20 (1979) 1398.

    Article  Google Scholar 

  2. G.A. Arteca, F.M. Fernandez and E.A. Castro, Physica A 128 (1984) 589.

    Article  Google Scholar 

  3. G.A. Arteca, F.M. Fernandez and E.A. Castro, J. Math. Phys. 25 (1984) 3492.

    Article  CAS  Google Scholar 

  4. J.C. Le Guillou and J. Zinn-Justin, Ann. Phys. (NY) 147 (1983) 57.

    Article  Google Scholar 

  5. V.P. Spiridonovy A.A. Lopatkin, Mir, tiosct, 1973.

    Google Scholar 

  6. V.L. Eletskii and V.S. Popov, Sov. J. Nucl. Phys. 23 (1973) 570.

    Google Scholar 

  7. W. Witschel, Z. Naturforsch. a36 (1931) 481.

    Google Scholar 

  8. Y. Onodera, Prog. Theor. Phys. (Kyoto) 44 (1970) 1477.

    Article  Google Scholar 

  9. J.K. Vij and W.G.S. Scaife, J. Chem. Phys. 64 (1976) 226.

    Article  Google Scholar 

  10. A. Morita and D.G. Frood, J. Phys. D 11 (1973) 2409.

    Google Scholar 

  11. A.D. Booth, J. Comput. Phys. 46 (1932) 423.

    Article  Google Scholar 

  12. G.A. Arteca, F.M. Fernandez and E.A. Castro, J.:math. Phys. 25 (1984) 2377.

    Article  CAS  Google Scholar 

  13. G.A. Arteca, F.M. Fernandezy E.A. Castro, Folia Chim. Theor. Lat. 10 (1932) 153.

    Google Scholar 

  14. F. Röscheisen and W. Witschel, J. Mol. Struct. THEOCHEM 87 (1982) 301.

    Article  Google Scholar 

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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

Authors
  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). Properties of the FM: Series with Zero Convergence RADII. 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_16

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  • DOI: https://doi.org/10.1007/978-3-642-93469-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52847-0

  • Online ISBN: 978-3-642-93469-8

  • eBook Packages: Springer Book Archive

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