Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 24 (1976) no. 1, pp. 17-30.
@article{AIHPA_1976__24_1_17_0,
     author = {Combescure, M. and Ginibre, J.},
     title = {Spectral and scattering theory for the {Schr\"odinger} operator with strongly oscillating potentials},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {17--30},
     publisher = {Gauthier-Villars},
     volume = {24},
     number = {1},
     year = {1976},
     zbl = {0336.47007},
     mrnumber = {400976},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1976__24_1_17_0/}
}
TY  - JOUR
AU  - Combescure, M.
AU  - Ginibre, J.
TI  - Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1976
DA  - 1976///
SP  - 17
EP  - 30
VL  - 24
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1976__24_1_17_0/
UR  - https://zbmath.org/?q=an%3A0336.47007
UR  - https://www.ams.org/mathscinet-getitem?mr=400976
LA  - en
ID  - AIHPA_1976__24_1_17_0
ER  - 
%0 Journal Article
%A Combescure, M.
%A Ginibre, J.
%T Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1976
%P 17-30
%V 24
%N 1
%I Gauthier-Villars
%G en
%F AIHPA_1976__24_1_17_0
Combescure, M.; Ginibre, J. Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 24 (1976) no. 1, pp. 17-30. http://archive.numdam.org/item/AIHPA_1976__24_1_17_0/

[1] S. Agmon, International Congress of Mathematicians, Nice, 1970.

[2] J. Aguilar et J.M. Combes, Commun. Math. Phys., t. 22, 1971, p. 269-282. | MR | Zbl

[3] W. Amrein et V. Georgescu, Helv. Phys. Acta, t. 47, 1974, p. 517-533. | MR

[4] W. Amrein, in: Scattering Theory in Mathematical Physics. J. A. Lavita, J. P. Marchand eds, D. Reidel, Dordrecht, 1974.

[5] M.L. Baeteman and K. Chadan, Preceding paper.

[6] M. Sh. Birman, Vestn. L. G. U., t. 13, 1961, p. 163-166. | MR

[7] T. Ikebe, Arch. Ratl. Mech. Anal., t. 5, 1960, p. 1-34. | MR | Zbl

[8] T. Ikebe, Brasilia preprint, 1974. | MR

[9] T. Kato, Perturbation theory for linear operators. Springer, Berlin, 1966. | Zbl

[10] T. Kato, Math. Ann., t. 162, 1966, p. 258-279. | EuDML | MR | Zbl

[11] T. Kato, Israel J. Math., t. 13, 1972, p. 135-148. | MR | Zbl

[12] S.T. Kuroda, Jour. Anal. Math., t. 20, 1967, p. 57-117. | MR | Zbl

[13] R. Lavine, Indiana Univ. Math. Jour., t. 21, 1972, p. 643-656. | MR | Zbl

[14] R. Lavine, J. Funct. Anal., t. 12, 1973, p. 30-54. | MR | Zbl

[15] V.B. Matveev and M.M. Skriganov, D. A. N. SSSR, t. 202, 1972, p. 755-758. | MR | Zbl

[16] D.B. Pearson, Helv. Phys. Acta, t. 47, 1974, p. 249-264. | MR

[17] D.B. Pearson, Commun. Math. Phys., t. 40, 1975, p. 125-146. | MR

[18] M. Reed and B. Simon, Methods of modern mathematical physics. Academic Press, New York, 1973, Vol. I. | Zbl

[19] M. Reed and B. Simon, Id., Vol. III, in preparation.

[20] D.W. Robinson, Ann. I. H. P., t. 21, 1974, p. 185-215. | EuDML | Numdam | MR

[21] J. Schwinger, Proc. Nat. Acad. Sci. (U. S. A.), t. 47, 1961, p. 122-129. | MR

[22] B. Simon, Quantum Mechanics for Hamiltonians defined as quadratic forms. Princeton Univ. Press, Princeton, 1971. | MR | Zbl

[23] B. Simon, Arch. Rat. Mech. Anal., t. 52, 1973, p. 44-48. | MR | Zbl

[24] M.M. Skriganov, Tr. Steklov. Math. Inst., t. 125, 1973, p. 187-195. | MR | Zbl

[25] M. Schechter, Spectra of partial differential operators. North Holland, Amsterdam, 1971. | MR | Zbl

[26] M. Schechter, Comm. Math. Helv., t. 49, 1974, p. 84-113. | EuDML | MR | Zbl