Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
Thèses d'Orsay, no. 268 (1990) , 78 p. 
@phdthesis{BJHTUP11_1990__0268__P0_0,
     author = {Klopp, Fr\'ed\'eric},
     title = {\'Etude semi-classique d'une perturbation d'un op\'erateur de {Schr\"odinger} p\'eriodique},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {268},
     year = {1990},
     language = {fr},
     url = {http://www.numdam.org/item/BJHTUP11_1990__0268__P0_0/}
}
TY  - BOOK
AU  - Klopp, Frédéric
TI  - Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
T3  - Thèses d'Orsay
PY  - 1990
IS  - 268
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://www.numdam.org/item/BJHTUP11_1990__0268__P0_0/
LA  - fr
ID  - BJHTUP11_1990__0268__P0_0
ER  - 
%0 Book
%A Klopp, Frédéric
%T Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
%S Thèses d'Orsay
%D 1990
%N 268
%I Université de Paris-Sud Centre d'Orsay
%U http://www.numdam.org/item/BJHTUP11_1990__0268__P0_0/
%G fr
%F BJHTUP11_1990__0268__P0_0
Klopp, Frédéric. Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique. Thèses d'Orsay, no. 268 (1990), 78 p. http://numdam.org/item/BJHTUP11_1990__0268__P0_0/

[ADH] S. Alama, P. Deift, R. Hempel, Eigenvalue branches of the Schrödinger operator H - λ W in a gap of σ ( H ) . Comm. Math. Phys., 121, 1989, 291-321. | MR | Zbl | DOI

[A] S. Agmon, Lectures on exponential decay of solutions of second order elliptic equation, Princeton University Press, 1982, 29. | MR | Zbl

[B] F. Bentosela, Scattering from impurities in a crystal., Comm. Math. Phys. 46, 1976, 153-166. | MR | DOI

[Bi] M.Sh. Birman, Perturbations of operators with periodic coefficients, Proceedings of the conference "Schrödinger operators: standard and non-standard", Dubna, 1988.

[C] J. Callaway, Energy Band Theory., Academic Press, New York/London, 1964. | MR | Zbl

[Ca] U. Carlsson, An infinite number of Wells in the semi-classical limit, Preprint de l'université de Lund, 1989 (à paraitre dans Asymptotic Analysis). | MR | Zbl

[DH] P. Deift, R. Hempel, On the existence of eigenvalues of the Schrödinger operator H - λ W in a gap of σ ( H ) . Comm. Math. Phys., 103, 1986, 461-490. | MR | Zbl | DOI

[GHKSV] F. Gesztesy, D. Gurarie, H. Holden, M. Klaus, L. Sadun, B. Simon, P. Vogl, Trapping and cascading of eigenvalues in the large coupling limit., Comm. Math. Phys. 118, 1988, 597-634. | MR | Zbl | DOI

[GS] F. Gesztesy, B. Simon, On a theorem of Deift and Hempel., Comm. Math. Phys. 116, 1988, 503-505. | MR | Zbl | DOI

[HSj1] B. Helffer, J. Sjöstrand, Multiple wells in the semi-classical limit 1, Comm. P.D.E 9(4) 1984, 337-408. | MR | Zbl | DOI

[HSj2] B. Helffer, J. Sjöstrand, Puits multiples en limite semi-classique 2. Interaction moléculaire. Perturbations, Annales I.H.P 42(2), 1985, 127-212. | MR | Zbl | Numdam

[HSj3] B. Helffer, J. Sjöstrand, Effet tunnel pour l'opérateur de Schrödinger semi-classique I., Actes des Journées des E.D.P à St Jean de Monts, 1985. | MR | Zbl

[K] M. Klaus, Some applications of the Birman-Schwinger principle., Helv. Phys. Acta 55, 1982, 49-68. | MR

[KS] M. Klaus, B. Simon, Coupling constant thresholds in non relativistic quantum mechanics., Ann. of Phys. 130, 1980, 251-281. | MR | Zbl | DOI

[LL] L. Landau, E. Lifschitz, Mécanique quantique, théorie non relativiste, Editions MIR, Moscou, 1966. | Zbl

[O] A. Outassourt, Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique, J. Funct. Anal. 72, 1987, 65-93. | MR | Zbl | DOI

[P] A. Persson, Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator, Math. Scand. 8, 1960, 143-153. | MR | Zbl | DOI

[S1] B. Simon, On the absorption of eigenvalues by continuous spectra in regular perturbation problems., J. Funct. Ana. 25, 1977, 338-344. | MR | Zbl | DOI

[S2] B. Simon, Semi-classical analysis of low lying eigenvalues I. Nondegenerate minima: Asymptotic expansion., Annales I.H.P 38(3), 1983, 295-307. | MR | Zbl | Numdam

[S3] B. Simon, Semi-classical analysis of low lying eigenvalues II. Tunneling., Ann. of Math. 120, 1984, 89-118. | MR | Zbl | DOI

[S4] B. Simon, Semi-classical analysis of low lying eigenvalues III. Width of the ground state band in strongly coupled solids., Ann. of Phys. 158(2), 1984, 415-420. | MR | Zbl

[S5] B. Simon, The bound state of a weakly coupled Schrödinger operator in one or two dimensions., Ann. of Phys. 97, 1976, 279-288. | MR | Zbl | DOI

[Sj] J. Sjöstrand, Microlocal analysis for the periodic magnetic Schrödinger equation and related questions, C.I.M.E Lectures Eté 1989 (à paraitre aux L.N.M Springer). | MR | Zbl

[Sk] M.M. Skriganov, Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators., Proc. of the Steklov Inst. of Math., 2, 1987. | MR | Zbl