Sur l'équation de Hill analytique

A. Grigis

Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985)

  • page 1-12

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Grigis, A.. "Sur l'équation de Hill analytique." Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985): 1-12. <http://eudml.org/doc/111868>.

@article{Grigis1984-1985,
author = {Grigis, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Schrödinger equation; Hill equation; periodic potential; Floquet problem; interval of instability; Mathieu differential equation},
language = {fre},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Sur l'équation de Hill analytique},
url = {http://eudml.org/doc/111868},
year = {1984-1985},
}

TY - JOUR
AU - Grigis, A.
TI - Sur l'équation de Hill analytique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1984-1985
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - fre
KW - Schrödinger equation; Hill equation; periodic potential; Floquet problem; interval of instability; Mathieu differential equation
UR - http://eudml.org/doc/111868
ER -

References

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  1. [1] J. Avron, B. Simon: The asymptotics of the Gap in the Mathieu equation, Annals of Physics134, (1981) 76-84. Zbl0464.34020MR626698
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  7. [7] A. Grigis: Sur l'isospectralité des potentiels périodiques dans IRn (d'après G. Eskin, J. Ralston, E. Trubowitz) Séminaire d'Analyse de l'Université de Nantes (1983-84) exposé n°1 . 
  8. [8] E. Harrel: American J. of Maths, to appear. 
  9. [9] H.P. MacKean, E. Trubowitz: Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, CPAM29 (1976) 143-226. Zbl0339.34024MR427731
  10. [10] W. Magnus, S. Winkler: Hill's equation, Interscience Publishers (1966). Zbl0158.09604
  11. [11] M. Reed, B. Simon: Methods of Modern Mathematical physics, IV, Academic Press (1978). Zbl0401.47001MR751959
  12. [12] Y. Sibuya: Global theory of a second order linear ordinary differential equation with a polynomial coefficient, North Holland (1975). Zbl0322.34006MR486867
  13. [13] E. Trubowitz: The inverse problem for periodic potentials, CPAM30 (1977) 321-337. Zbl0403.34022MR430403
  14. [14] A. Voros: The return of the quartic oscillator. The complex WKB method, Ann. Inst. Henri Poincaré, vol. 29, n°3 (1983) 211-338. Zbl0526.34046MR729194
  15. [15] W. Wasow: Asymptotic expansions for ordinary differential equations, Krieger (1976). Zbl0169.10903MR460820

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