Abstract
The proof is outlined of the distributional Borel summability of the Rayleigh–Schrödinger perturbation expansions of the quantum Hénon–Heiles model.
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References
J.B. Delos: Chaos in Atomic and Molecular Theory, (From Abstract Mathematics to Patented Devices), http://www.pa.uky.edu/ mike/tamoc/frontiers/html/delosf.html (Refereed web publication).
F. Nardini: Boll. U.M.I. B 4 (1985) 473.
E. Caliceti and S. Graffi: Canonical Expansion of PT-symmetric operators and Perturbation Theory, to appear.
E. Caliceti, S. Graffi, and M. Maioli: Commun. Math. Phys. 75 (1980) 51.
E. Caliceti: Spectral Theory and Distributional Borel Summability for the Quantum H´enon-Heiles Model, to appear.
T. Kato: Perturbation Theory for Linear Operators, 2nd ed., Springer-Verlag, 1976.
M. Reed and B. Simon: Methods of Modern Mathematical Physics, Vol. IV, Academic Press, 1978.
E.C. Titchmarsh: The Theory of Functions, Oxford University Press, 1957.
E. Caliceti: J. Phys. A 33 (2000) 3753.
W. Hunziker and C.A. Pillet: Commun. Math. Phys. 90 (1983) 219.
E. Caliceti, V. Grecchi, and M. Maioli: Commun. Math. Phys. 104 (1986) 163.
E. Caliceti, V. Grecchi, and M. Maioli: Commun. Math. Phys. 157 (1993) 347.
E. Caliceti, V. Grecchi, and M. Maioli: Commun. Math. Phys. 176 (1996) 1.
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Caliceti, E. Distributional Borel Sum for the PT-Symmetric Hénon–Heiles Model. Czechoslovak Journal of Physics 54, 29–34 (2004). https://doi.org/10.1023/B:CJOP.0000014364.39013.01
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DOI: https://doi.org/10.1023/B:CJOP.0000014364.39013.01