Wave operators for momentum dependent long range potential
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 26 (1977) no. 3, pp. 279-293.
@article{AIHPA_1977__26_3_279_0,
     author = {Berthier, A. M. and Collet, P.},
     title = {Wave operators for momentum dependent long range potential},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {279--293},
     publisher = {Gauthier-Villars},
     volume = {26},
     number = {3},
     year = {1977},
     mrnumber = {462329},
     zbl = {0346.47010},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1977__26_3_279_0/}
}
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Berthier, A. M.; Collet, P. Wave operators for momentum dependent long range potential. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 26 (1977) no. 3, pp. 279-293. http://archive.numdam.org/item/AIHPA_1977__26_3_279_0/

[1] P.K. Alsholm, Wave operators for long range scattering, Preprint.

[2] W.O. Amrein, Scattering theory in Mathematical Physics, edited by J. La Vita and J. P. Marchand (Reidel, Dordrecht, 1973).

[3] W.O. Amrein, Ph. Martin and B. Misra, On the asymptotic condition of scattering Theory, Helv. Phys. Acta, t. 43, 1970, p. 313-344. | MR | Zbl

[4] A.M. Berthier and P. Collet, Existence and Completeness of the wave operators in Scattering Theory with momentum dependent potentials, 1975, to appear in Journal of Functional Analysis. | MR | Zbl

[5] V.S. Buslaev and V.B. Matveev, Wave operators for the Schrödinger equation with a slowly decreasing potential. Theor. Math. Phys., t. 2, 1970, p. 266-274. | MR

[6] J.D. Dollard, Asymptotic convergence and the Coulomb interaction, Journal of Math. Phys., t. 5, 1964, p. 729-738. | MR

[7] M.V. Fedoriouk, Méthode de la phase stationnaire pour les intégrales multiples, J. Math. App. et Phys. Math., t. 2, n° 1, 1962, p. 145-150.

[8] L. Hörmander, Fourier integrals operators, Acta Math., t. 127, 1971, p. 79. | MR | Zbl

[9] L. Hörmander, The existence of the wave operators in scattering theory, Preprint (1975), University of Lund. | MR

[10] J.W. Milnor, Morse theory, Princeton University Press, Princeton, New Jersey. | Zbl

[11] L. Schwartz, Cours d'Analyse de l'École Polytechnique, Tome 1. | Zbl