Oscillateur quartique et méthodes semi-classiques

A. Voros

Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980)

  • page 1-6

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Voros, A.. "Oscillateur quartique et méthodes semi-classiques." Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980): 1-6. <http://eudml.org/doc/111764>.

@article{Voros1979-1980,
author = {Voros, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {oscillator; zeta function; Schrödinger operator; semiclassical methods; algebraic properties; spectrum},
language = {fre},
pages = {1-6},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Oscillateur quartique et méthodes semi-classiques},
url = {http://eudml.org/doc/111764},
year = {1979-1980},
}

TY - JOUR
AU - Voros, A.
TI - Oscillateur quartique et méthodes semi-classiques
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 6
LA - fre
KW - oscillator; zeta function; Schrödinger operator; semiclassical methods; algebraic properties; spectrum
UR - http://eudml.org/doc/111764
ER -

References

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  1. [1] R. Balian, G. Parisi, A. Voros: Phys. Rev. Lett.41, 1141 (1978), et dans:"Mathematical Problems in Feynman Path Integrals ", Springer Lecture Notes in Mathematics (1979). MR553093
  2. [2] G. Parisi: "Trace Identities for the Schrödinger Operator and the WKB Method" Prétirage Ecole Normale Supérieure LPT ENS 78/9, soumis à Nucl. Phys. B. 
  3. [3] A. Voros: The Zeta Function of the Quartic Oscillator, Prétirage Saclay D. Ph.-T 79/88, soumis à Nucl. Phys. B. 
  4. [4] S. Minakshisunsaram, A. Pleijel: Canad. J. Math.4, 26 (1952) Zbl0049.17103
  5. L. Hörmander: Acta Math.121, 93 (1968). Zbl0164.13201MR609014
  6. I.C. Percival: Proc. Phys. Soc.80, 1290 (1962). Zbl0109.44902
  7. [5] L.A. Dikii, Usp. Mat. Nauk. SSSR13, 111 (1958) (en anglais: Translations AMS (2) vol. 18, 81 (1961)); R.T. Seeley, AMS Proc. Symp. Pure Math.10, 288 (1967); MR100222
  8. D. Robert: Comm. Part. Diff. Eq.3,755 (1978) . Zbl0392.35056MR504628
  9. [7] L.J. Slater: Generalized hypergeometric functions, Cambridge Univ. Press (1966). Zbl0135.28101MR201688
  10. [8] E.C. Titchmarsh: The Riemann Zeta Function, Clarendon Press (Oxford1951). Zbl0042.07901MR46485
  11. [9] R.B. Dingle: Asymptotic Expansions: their derivation and interpretation (Acad. Press, 1973) . Zbl0279.41030MR499926

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