@incollection{SB_1979-1980__22__246_0, author = {Colin de Verdi\`ere, Yves}, title = {La matrice de {Scattering} pour l'op\'erateur de {Schr\"odinger} sur la droite r\'eelle}, booktitle = {S\'eminaire Bourbaki : vol. 1979/80, expos\'es 543-560}, author = {Collectif}, series = {S\'eminaire Bourbaki}, note = {talk:557}, publisher = {Springer-Verlag}, number = {22}, year = {1981}, mrnumber = {636527}, zbl = {0467.34019}, language = {fr}, url = {http://www.numdam.org/item/SB_1979-1980__22__246_0/} }
TY - CHAP AU - Colin de Verdière, Yves TI - La matrice de Scattering pour l'opérateur de Schrödinger sur la droite réelle BT - Séminaire Bourbaki : vol. 1979/80, exposés 543-560 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:557 PY - 1981 DA - 1981/// IS - 22 PB - Springer-Verlag UR - http://www.numdam.org/item/SB_1979-1980__22__246_0/ UR - https://www.ams.org/mathscinet-getitem?mr=636527 UR - https://zbmath.org/?q=an%3A0467.34019 LA - fr ID - SB_1979-1980__22__246_0 ER -
Colin de Verdière, Y. La matrice de Scattering pour l'opérateur de Schrödinger sur la droite réelle, dans Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Exposé no. 557, 11 p. http://www.numdam.org/item/SB_1979-1980__22__246_0/
[A] Méthodes mathématiques de la mécanique classique (traduction française), MIR, 1976. | MR 474391 | Zbl 0385.70001
-[A-M] The inverse scattering theory, Gordon and Breach, New-York, 1963. | MR 162497 | Zbl 0117.06003
and -[B-G-M] Le spectre d'une variété riemannienne, Lecture Notes in Math., n° 194. | Zbl 0223.53034
, et -[C] Développements de fonctions arbitraires suivant les fonctions propres d'un opérateur différentiel, Sém. Bourbaki, exposé n° 102. | Numdam | Zbl 0121.09901
-[CV 1] Propriétés asymptotiques de l'équation de la chaleur sur une variété compacte, Sém. Bourbaki, exposé n° 439. | Numdam | Zbl 0324.58019
-[CV 2] Une formule de traces pour l'opérateur de Schrödinger dans R3 , Ann. E.N.S. (à paraître). | Numdam | Zbl 0482.35068
-[D-T] Inverse scattering on the line, CPAM 32(1979), 121-251. | MR 512420 | Zbl 0388.34005
and -[F] Properties of the S-matrix of the one-dimensional Schrödinger equation, AMST 2, 65(1966), 139-166. | Zbl 0181.56704
-[F-Z] KdV equation : a completely integrable Hamiltonian system, Funct. Analysis and its applications 5(1971), 280-287. | Zbl 0257.35074
and -[G-G-K-M] Method for solving the KdV equation, Phys. Rev. Letters 19(1967), 1095-1097. | Zbl 1103.35360
, , and -[G-L] On the determination of a differential equation from its spectral functions, AMST 2, 1(1955), 253-304. | MR 73805 | Zbl 0066.33603
and -[J-K] Asymptotic behavior of the scattering phase for exterior domains, Comm. P.D.E. 3(1978), 1165-1195. | MR 512084 | Zbl 0419.35067
and -[K-dV] On the change of form of long waves advancing in a rectangular canal, and a new type of long stationnary waves, Philos. Mag., 39(1895), 422-443. | JFM 26.0881.02
and -[L 1] Integrals of non-linear equations of evolution and solitary waves, CPAM, 21(1968), 467-490. | MR 235310 | Zbl 0162.41103
-[L 2] Periodic solutions of the KdV equation, CPAM, 28(1975), 141-188. | MR 369963 | Zbl 0295.35004
-[L-P] Scattering theory for automorphic functions, Annals of Math. Studies, Princeton, 1976. | MR 562288 | Zbl 0362.10022
and -[LN] On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase, Danske Vid. Selsk. Math. Fys. Medd., 25(1944), 1-29. | MR 30080 | Zbl 0032.20702
-[M] The KdV equation : a survey of results, SIAM Review, 18(1976), 412-457. | MR 404890 | Zbl 0333.35021
-[McK] Integrable systems and algebraic curves, Lecture Notes in Math. 755, 83-200. | MR 564904 | Zbl 0449.35080
-[MK-M] The spectrum of Hill's equation, Invent. Math., 30(1975), 217-274. | MR 397076 | Zbl 0319.34024
and -[M-R] An analogue of Weyl's theorem for unboùnded domains, I, II et III, Duke Math. Journal, 45(1978), 183-196 et 513-536, et 46(1979), 725-731. | Zbl 0416.35058
and -[R-S] Methods of modern mathematical physics, III : scattering theory, Academic Press, 1979. | MR 529429 | Zbl 0405.47007
and -