La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel

Mohamed Ali Tagmouti

Séminaire de théorie spectrale et géométrie (1986-1987)

  • Volume: 5, page 67-75
  • ISSN: 1624-5458

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Tagmouti, Mohamed Ali. "La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel." Séminaire de théorie spectrale et géométrie 5 (1986-1987): 67-75. <http://eudml.org/doc/114269>.

@article{Tagmouti1986-1987,
author = {Tagmouti, Mohamed Ali},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {conjecture of Bethe-Sommerfeld periodic potential},
language = {fre},
pages = {67-75},
publisher = {Institut Fourier},
title = {La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel},
url = {http://eudml.org/doc/114269},
volume = {5},
year = {1986-1987},
}

TY - JOUR
AU - Tagmouti, Mohamed Ali
TI - La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel
JO - Séminaire de théorie spectrale et géométrie
PY - 1986-1987
PB - Institut Fourier
VL - 5
SP - 67
EP - 75
LA - fre
KW - conjecture of Bethe-Sommerfeld periodic potential
UR - http://eudml.org/doc/114269
ER -

References

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  1. [1] REED M., SIMON B. - Methods in modern mathematica physics, vol.TV, Analysis of Operators, Zbl0405.47007
  2. [2] KASIO-KATO. - Perturbation theory of linear operators,. Zbl0148.12601
  3. [3] DIXMIE J. - Les algèbres d'opérateurs dans l'espace hilbertien,,. Zbl0088.32304
  4. [4] LAUDO E.. - Vorlesungen über Zahlentheorie Bd 2, Leipzig : Hirzel, 1927. 
  5. [5] SKRIGANOV M.M. - The spectrum band structure of the three-dimensional Schrödinger operator with periodic potentiel, Izvest math., 86 ( 1986), 107-121. Zbl0578.47003MR784531
  6. [6] SKRIGANOV M.M. - The multidimensional Schrödinger operator with periodic potentiel, Math. USSR Izvest, 22 n° 3 ( 1984), 619-645. Zbl0545.35027MR703598
  7. [7] DAHLBERG B.E.J. and TRUBOWITZ E. - A remark on two dimensional periodic potentiels, Comment.Math. Helvetici, 57 ( 1982), 130-134. Zbl0539.35059MR672849

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