Théorie de la diffusion pour l'équation de Schrödinger
Séminaire Bourbaki : vol. 1978/79, exposés 525-542, Séminaire Bourbaki, no. 21 (1980), Exposé no. 533, 19 p.

Voir la notice de l'acte provenant de la source

MR   Zbl   EuDML

Cartier, Pierre. Théorie de la diffusion pour l'équation de Schrödinger, dans Séminaire Bourbaki : vol. 1978/79, exposés 525-542, Séminaire Bourbaki, no. 21 (1980), Exposé no. 533, 19 p.. http://geodesic.mathdoc.fr/item/SB_1978-1979__21__132_0/
@incollection{SB_1978-1979__21__132_0,
     author = {Cartier, Pierre},
     title = {Th\'eorie de la diffusion pour l'\'equation de {Schr\"odinger}},
     booktitle = {S\'eminaire Bourbaki : vol. 1978/79, expos\'es 525-542},
     series = {S\'eminaire Bourbaki},
     note = {talk:533},
     pages = {132--150},
     year = {1980},
     publisher = {Springer-Verlag},
     number = {21},
     mrnumber = {572422},
     zbl = {0435.35027},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1978-1979__21__132_0/}
}
TY  - CHAP
AU  - Cartier, Pierre
TI  - Théorie de la diffusion pour l'équation de Schrödinger
BT  - Séminaire Bourbaki : vol. 1978/79, exposés 525-542
AU  - Collectif
T3  - Séminaire Bourbaki
N1  - talk:533
PY  - 1980
SP  - 132
EP  - 150
IS  - 21
PB  - Springer-Verlag
UR  - http://geodesic.mathdoc.fr/item/SB_1978-1979__21__132_0/
LA  - fr
ID  - SB_1978-1979__21__132_0
ER  - 
%0 Book Section
%A Cartier, Pierre
%T Théorie de la diffusion pour l'équation de Schrödinger
%B Séminaire Bourbaki : vol. 1978/79, exposés 525-542
%A Collectif
%S Séminaire Bourbaki
%Z talk:533
%D 1980
%P 132-150
%N 21
%I Springer-Verlag
%U http://geodesic.mathdoc.fr/item/SB_1978-1979__21__132_0/
%G fr
%F SB_1978-1979__21__132_0

[1] V. De Alfaro et T. Regge - Potential scattering , North Holland , Amsterdam , 1965. | Zbl

[2] W. Amrein , J. Jauch , K. Sinha - Scattering theory in quantum mechanics , Benjamin, New York , 1977 . | Zbl | MR

[3] K.O. Friedrichs - Perturbation of spectra in Hilbert space , Amer. Math. Soc. Lect. in Appl. Math. , vol. 3 , Providence , 1965 . | Zbl | MR

[4] T. Kato - Perturbation theory for linear operators , 2e édit. , Springer , New York, 1976 . | Zbl | MR

[5] R.G. Newton - Scattering theory of waves and particles , McGraw Hill , New York , 1966 . | Zbl | MR

[6] M. Reed et B. Simon - Methods of mathematical physics , Academic Press , New York : vol.I : Functional analysis , 1972 ; vol.II : Fourier analysis , self-adjointness , 1975 ; vol.III : Scattering theory , 1979 ; vol.IV : Analysis of operators , 1978 . | MR

[7] I.M. Sigal , Mathematical foundations of quantum scattering theory for multiparticle systems , Memoirs Amer. Math. Soc. , vol. 209 , Providence , 1978 . | Zbl | MR

[8] W. Thirring et P. Urban (éditeurs) - The Schrödinger equation, Springer , Wien , 1977 . | Zbl

[9] W. Amrein et D.B. Pearson - A time-dependent approach to the total scattering cross-section , à paraître. | Zbl

[10] J.M. Cook - Convergence to the Møller wave matrix , Journ. Math. Phys. 36 (1957) , p. 82-87 . | MR

[11] M.N. Haak - On the convergence to the Møller wave operators , Nuovo Cimento , X Ser. 13 (1959) , p. 231-236 .

[12] J. Jauch - Theory of the scattering operator , Helv. Phys. Acta , 31 (1958) , p. 127-158 . | Zbl | MR

[13] T. Kato - Wave operators and unitary equivalence , Pac. Journ. Math. , 15 (1965) , p. 171-180 . | Zbl | MR

[l4] S.T. Kuroda - On the existence and the unitary property of the scattering operator, Nuovo Cimento , X Ser. 12 (1959) , p. 431-454 . | Zbl

[15] S.T. Kuroda - Scattering theory for differential operators I : Operator theory , Journ. Math. Soc. Japan , 25 (1973) , p. 75-104 ; | Zbl | MR

II : Self-adjoint elliptic operators , ibid. p. 222-234 .

[16] C. Møller - Général properties of the characteristic matria in the theory of elementary particles , Danske Vid. Selsk. Mat.-Fys. Medd. 22 (1946) , no. 19 . | Zbl

[17] L.D. Faddeev - On the Friedrichs model in the perturbation theory of continuous spectrum , Trudy Math. Inst. Steklov , 73 (1964) , p. 292-313 [en russe] . | Zbl | MR

[18] K.O. Friedrichs - On the perturbation of continuous spectra , Comm. Pure Appl. Math. 1 (1948) , p. 361-406 . | Zbl | MR

[19] J.S. Howland - Banach space techniques in the perturbation theory of self-adjoint operators with continuous spectra , Journ. Math. Anal. and Appl., 20 ( 1967) , p. 22-47 . | Zbl | MR

[20] T. Kato et S.T. Kuroda - Theory of simple scattering and eigenfunction expansions , in "Functional Analysis and Related Fields" (F.E. Browder éditeur) , Springer , New York , 1970 . | Zbl | MR

[21] T. Kato et S.T. Kuroda - The abstract theory of scattering , Rocky Mount. Journ. Math., 1 (1971) , p. 127-171 . | Zbl | MR

[22] S.T. Kuroda - An abstract stationary approach to perturbation of continuous spectra and scattering theory , Journ. Math. Anal. and Appl., 20 ( 1967) , p. 57-117 . | Zbl | MR

[23] P.A. Rejto - On gentle perturbations , Comm. Pure Appl. Math. , I : 16 (1963) , p. 279-303 ; II : 17 (1964) , p. 257-292 . | Zbl

[24] P.A. Rejto - On partly gentle perturbations , Journ. Math. Anal. and Appl., I : 17 (1967) , p. 453-462 ; II : 20 (1967) , p. 145-187 ; III : 27 (1969) , p. 21-67 . | Zbl

[25] S. Agmon - Spectral properties of Schrödinger operators , Actes Congrès Internat. Math. Nice , 1970 , vol. 2 , p. 679-684 . | Zbl | MR

[26] S. Agmon - Spectral properties of Schrödinger operators and scattering theory , Annali Scuola Norm. Sup. Pisa , Cl. Sci. II , 2 (1976) , p. 151-218 . | Zbl | MR | Numdam

[27] S. Agmon - Some new results in spectral and scattering theory of differential operators on Rn , Séminaire Goulaouic-Schwartz , Ecole Polytechnique , 1978 . | Zbl | Numdam

[28] S. Agmon et L. Hörmander - Asymptotic properties of solutions of differential equations with simple characteristics, Journ. Anal. Math. 30 ( 1976) , p. 1-38 . | Zbl | MR

[29] P. Alsholm et T. Kato - Scattering with long range potentials , in "Partial differential equations" , Proc. Symp. Pure Math. , vol. 23 , Amer. Math. Soc. , Providence , 1973 . | Zbl | MR

[30] W. Amrein et V. Georgescu - On the characterization of bound states and scattering states in quantum mechanics , Helv. Phys. Acta , 46 ( 1973) , p. 635-658 . | MR

[31] A.M. Berthier et P. Collet - Existence and completeness of the wave operators in scattering theory with momentum-dependent potentials , Journ. Funct. Anal. , 26 (1977) , p. 1-15 . | Zbl | MR

[32] A.M. Berthier et P. Collet - Wave operators for momentum dependent long range potentials , Ann. Inst. Henri Poincaré , série A , 26 (1977) , p. 279-293 . | Zbl | MR | Numdam

[33] H. Brezis et T. Kato - Remarks on the Schrödinger operator with singular complex potentials , à paraître . | Zbl

[34] P.J. Deift et B. Simon - A time-dependent approach to the completeness of multiparticle quantum systems , Comm. Pure Appl. Math. , 30 (1977) , p. 573-583 . | Zbl | MR

[35] J. Dollard - Asymptotic convergence and the Coulomb interaction , Journ. Math. Phys. 5 (1964) , p. 729-738 . | MR

[36] J. Dollard - Quantum mechanical scattering theory for short-range and Coulomb interaction, Rocky Mount. Journ. Math., 1 (1971) , p. 5-88 . | Zbl | MR

[37] V. Enss - Asymptotic completeness for quantum mechanical potential scattering , I : Short range potentials , Comm. Math. Phys., 61 (1978) , p. 285-291 ; II : Singular and long range potentials , à paraître aux Ann. Phys. | Zbl | MR

[38] L. Hormander - The existence of wave operators in scattering theory , Math. Zeit., 146 (1976) , p. 69-91 . | Zbl | MR

[39] T. Ikebe - Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory, Arch. Rat. Mech. Anal., 5 (1960) , p. 1-34 . | Zbl | MR

[40] J. Jauch et I. Zinnes - The asymptotic condition for simple scattering systems , Nuovo Cimento . X Ser. 11 (1959) , p. 553-567 . | MR

[41] R.B. Lavine - Absolute continuity of positive spectrum for Schrödinger operators with long range potentials , Journ. Funct. Anal., 12 (1973) , p. 30-54 . | Zbl | MR

[42] D. Ruelle - A remark on bound states in potential scattering theory , Nuovo Cimento, 61A ( 1969) , p. 655-662 . | MR

[43] B. Simon - Geometric methods in multiparticle quantum systems, Comm. Math. Phys., 55 (1977) , p. 259-274 . | Zbl | MR

[44] B. Simon - Phase space analysis of simple scattering systems , extension of some work of Enss , à paraître au Duke Math. Journ. | Zbl

[2 bis] L.D. Faddeev - Mathematical aspects of the three body problem in quantum scattering theory, Israël program for scientific translation, 1965.] | Zbl | MR