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It is shown that the Bloch or angular momentum coherent states furnish a particularly efficacious basis for a discussion of various aspects of the Lipkin model of the ''nucleus.'' The Hartree–Fo...
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Expansion around instantons in quantum mechanics

J. Math. Phys. 22, 511 (1981); doi:10.1063/1.524919

Issue Date: March 1981

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J. Zinn-Justin
CEN-Saclay, Boite Postale No. 2, 91190, Gif-Sur-Yvette, France
We calculate numerically a few terms of the corrections to the large-order behavior of the ground state energy of the O(N) anharmonic oscillator by analyzing the perturbation series. We then generate 94 terms of the perturbative expansion of the difference between the energies of the two low lying states of the double-well potential and analyze their large-order behavior. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
Permalink: http://link.aip.org/link/?JMAPAQ/22/511/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Db
    Classical and quantum physics; mechanics and fields Quantum theory; quantum mechanics Functional analytical methods
  • 03.65.Sq
    Classical and quantum physics; mechanics and fields Quantum theory; quantum mechanics Semiclassical theories and applications
  • YEAR: 1981

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (12)
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    2. Phys. Lett. 27, 461 (1971);
    Phys. Rev. D 7, 1620 (1973).
  2. E. Brezin, J. C. LeGuillou, and J. Zinn-Justin, Phys. Rev. D 15, 1544, 1558 (1977).
    3. See also, J. Zinn-Justin, Salamanca 1977, Lecture Notes in Physics 77, Number 126, edited by J. A. de Azcerraga (Springer-Verlag, Berlin, 1977);
    Zinn-Justin, Cargèse Lectures 1977 (Plenum, New York, 1977).
  3. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977);
    4. and Dph-T Preprint Dph-T/79/94.
  4. R. Seznec and J. Zinn-Justin, J. Math. Phys. 20, 1398 (1979).
  5. R. Seznec, Thesis, Paris University, 1979.
  6. E. Brezin and S. Hikami, J. Phys. A 12, 759 (1979).
  7. H. de Vega, Dph-T preprint, Dph-T/79/105.
  8. A. D. Dolgov and V. S. Popov, Phys. Lett. B 86, 185 (1979).
  9. B. Simon, Ann. Phys. (N.Y.) 58, 79 (1970);
    10. S. Graffi, V. Grecchi, and B. Simon, Phys. Lett. B 32, 631 (1970); and Ref. 1.
  10. E. Brezin, G. Parisi, and J. Zinn-Justin, Phys. Rev. D 16, 408 (1977).
  11. L. D. Landau and E. M. Lifschitz, Quantum Mechanics, 2nd ed. (Pergamon, Oxford, 1965), p. 292.
  12. J. Zinn-Justin, J. Phys. 40, 969 (1979).

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