Sur les singularités de van Hove génériques

Yves Colin de Verdière

Mémoires de la Société Mathématique de France (1991)

  • Volume: 46, page 99-109
  • ISSN: 0249-633X

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Colin de Verdière, Yves. "Sur les singularités de van Hove génériques." Mémoires de la Société Mathématique de France 46 (1991): 99-109. <http://eudml.org/doc/94897>.

@article{ColindeVerdière1991,
author = {Colin de Verdière, Yves},
journal = {Mémoires de la Société Mathématique de France},
keywords = {generic Van Hove singularities; simplicity; Schrödinger operator with periodic electric potential; density of states; singularities; Floquet eigenvalues; Bloch theory; Morse property},
language = {fre},
pages = {99-109},
publisher = {Société mathématique de France},
title = {Sur les singularités de van Hove génériques},
url = {http://eudml.org/doc/94897},
volume = {46},
year = {1991},
}

TY - JOUR
AU - Colin de Verdière, Yves
TI - Sur les singularités de van Hove génériques
JO - Mémoires de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 46
SP - 99
EP - 109
LA - fre
KW - generic Van Hove singularities; simplicity; Schrödinger operator with periodic electric potential; density of states; singularities; Floquet eigenvalues; Bloch theory; Morse property
UR - http://eudml.org/doc/94897
ER -

References

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  7. [F-K-T] J. FELDMAN, H. KNOERRER et E. TRUBOWITZ. — The perturbatively stable spectrum of a periodic Schrödinger operator, ETH, (1989). 
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  9. [R-S, IV] M. REED et B. SIMON. — Methods of modern mathematical physics, t. 4 : analysis of operators, Academic press, 1978. Zbl0401.47001MR58 #12429c
  10. [SK1] M. SKRIGANOV. — The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential, Invent. Math., 80 (1985), 107-121. Zbl0578.47003MR86i:35107
  11. [SK2] M. SKRIGANOV. — Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators, Proc. Steklov Inst. Math., 171 (1987), 1-121. Zbl0615.47004MR88g:47038
  12. [UK] K. UHLENBECK. — Generic properties of eigenfunctions, American J. of Math., 98 (1976), 1059-1078. Zbl0355.58017MR57 #4264
  13. [VH] L. VAN HOVE. — The occurence of singularities in the elastic frequency distribution of a cristal, Phys. Rev., 89 (1953), 1189-1193. Zbl0050.23605MR15,88c
  14. [V-W] J. VON NEUMANN et E. WIGNER. — Ueber das Verhalten von Eigenwerten bei adiabatischen Prozessen, Physik. Zeitschr., 30 (1929), 467-470. JFM55.0520.05
  15. [ZE] S. ZELDITCH. — On the spectrum of a Riemannian cover, Ann. Inst. Fourier (soumis), (1989). Zbl0722.58044

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