L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé

George D. Raikov

Séminaire de théorie spectrale et géométrie (1990-1991)

  • Volume: 9, page 133-139
  • ISSN: 1624-5458

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Raikov, George D.. "L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé." Séminaire de théorie spectrale et géométrie 9 (1990-1991): 133-139. <http://eudml.org/doc/114309>.

@article{Raikov1990-1991,
author = {Raikov, George D.},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {asymptotic expansion; asymptotic value; number of eigenvalues},
language = {fre},
pages = {133-139},
publisher = {Institut Fourier},
title = {L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé},
url = {http://eudml.org/doc/114309},
volume = {9},
year = {1990-1991},
}

TY - JOUR
AU - Raikov, George D.
TI - L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé
JO - Séminaire de théorie spectrale et géométrie
PY - 1990-1991
PB - Institut Fourier
VL - 9
SP - 133
EP - 139
LA - fre
KW - asymptotic expansion; asymptotic value; number of eigenvalues
UR - http://eudml.org/doc/114309
ER -

References

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  1. [AL-DE-HE] ALAMA S., DEIFT P.A., HEMPEL R. - Eigenvalue branches of the Schrödinger operator H - λW in a gap of σ(H), Commun. Math. Phys., 121 ( 1989), 291-321. Zbl0676.47032MR985401
  2. [DE-HE] DEIFT P.A., HEMPEL R. - On the existence of eigenvalues of the Schrödinger operator H - λW in a gap of σ(H), Commun. Math. Phys., 103 ( 1986), 461-490. Zbl0594.34022MR832922
  3. [GE-SI] GESZTESY F. , SIMON B. - On a theorem of Deift and Hempel, Commun. Math. Phys., 116 ( 1988), 503-505. Zbl0647.35063MR937772
  4. [HE] HEMPEL R. - Eigenvalue branches of the Schrödinger operator H ± λ,W in a spectral gap of H, J. Reine Angew. Math., 399 ( 1989), 38-59. Zbl0681.35066MR1004132
  5. [KHR] KHRYASHCHEV S.V. - Asymptotics cf the discrete spectrum of the perturbed Hill operator, Zap. Nauchn. Seminarov LOMI, 147 ( 1985), 188-189 (en russe); J. Sov. Math. 37 ( 1987) 908-909. Zbl0616.47039MR821486
  6. [ROZ] ROZENBLJUM G.V. - An asymptotic of the negative discrete spectrum of the Schrödinger operator, Mal. Zametki, 21 ( 1977). 399-407 (en russe); Math. Notes 21 ( 1977) 222-227. Zbl0399.35083MR447838
  7. [SKR] SKRIGANOV M.M. - Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators, Trudy Mat. Inst. Steklov, 171 ( 1985), 122 pp. (en russe). Zbl0567.47004MR798454
  8. [TAM] TAMURA H. - Asymptotic formulas with sharp remainder estimates for bound states of Shrödinger operators, J. d'Anal. Maih. I:40 ( 1981), 166-182; 11:41 ( 1982) 85-108. Zbl0501.35063
  9. [WILC] WlLCOX C.H. - Theory of Bloch waves, J. d'Anal. Math., 33 ( 1978), 146-167. Zbl0408.35067MR516045
  10. [ZEL] ZELENKO L.B. - Asymptolic distribution of the eigenvalues in a lacuna of the continuous spectrum of a perturbed Hill operator, Mat. Zametki, 20 ( 1976), 341-350 (en russe); Math. Notes 20 ( 1976) 750-755. Zbl0357.34020MR430404

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