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Construction of variational bounds for the N-body eigenstate problem by the method of Pade approximations

  • Part I. Mathematical Theory of the Padé Approximants Method
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Book cover Padé Approximants Method and Its Applications to Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 47))

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References

  1. G. Baker Jr., in “Essentials of Padé Approximants”, Academic Press New York 1975. Chapter 17.

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  2. See Ref. (1) Chapter 15.

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  3. J.C. Wheeler and R.G. Gordon, Bounds for averages using moment constraint in “The Padé Approximant in Theoretical Physics”. Baker Jr. and Gammel editors, Mathematics in Science and Engineering Academic Press 1970.

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  4. D. Bessis, L. Epele and M. Villani, J. Math. Phys. 15, p. 2071, (1974).

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  5. D. Bessis and M. Villani, J. Math. Phys. 16, p. 462 (1975). See also Michael Barnsley, The bounding properties of the multipoint Padé approximant to a series of Stieltjes, J.M.P. Vol,. 14 no3 March 1975.

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  6. See Appendix H of ref. (5).

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  7. D. Bessis, P. Moussa and M. Villani, Monotonous converging variational approximations to functional integrals in Quantum Statistical Mechanics. Saclay preprint D.Ph.T/75-6. January 1975 to be published in Journal of Mathematical Physics.

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Henri Cabannes

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© 1976 Springer-Verlag

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Bessis, D. (1976). Construction of variational bounds for the N-body eigenstate problem by the method of Pade approximations. In: Cabannes, H. (eds) Padé Approximants Method and Its Applications to Mechanics. Lecture Notes in Physics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015657

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  • DOI: https://doi.org/10.1007/BFb0015657

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  • Print ISBN: 978-3-540-07614-8

  • Online ISBN: 978-3-540-38132-7

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