Wave operators for momentum dependent long range potential

A. M. Berthier; P. Collet

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 26, Issue: 3, page 279-293
  • ISSN: 0246-0211

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Berthier, A. M., and Collet, P.. "Wave operators for momentum dependent long range potential." Annales de l'I.H.P. Physique théorique 26.3 (1977): 279-293. <http://eudml.org/doc/75937>.

@article{Berthier1977,
author = {Berthier, A. M., Collet, P.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {3},
pages = {279-293},
publisher = {Gauthier-Villars},
title = {Wave operators for momentum dependent long range potential},
url = {http://eudml.org/doc/75937},
volume = {26},
year = {1977},
}

TY - JOUR
AU - Berthier, A. M.
AU - Collet, P.
TI - Wave operators for momentum dependent long range potential
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 26
IS - 3
SP - 279
EP - 293
LA - eng
UR - http://eudml.org/doc/75937
ER -

References

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  1. [1] P.K. Alsholm, Wave operators for long range scattering, Preprint. Zbl0359.47006
  2. [2] W.O. Amrein, Scattering theory in Mathematical Physics, edited by J. La Vita and J. P. Marchand (Reidel, Dordrecht, 1973). 
  3. [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. Zbl0195.56101MR309477
  4. [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. Zbl0358.35064MR454404
  5. [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. MR473580
  6. [6] J.D. Dollard, Asymptotic convergence and the Coulomb interaction, Journal of Math. Phys., t. 5, 1964, p. 729-738. MR163620
  7. [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. [8] L. Hörmander, Fourier integrals operators, Acta Math., t. 127, 1971, p. 79. Zbl0212.46601MR388463
  9. [9] L. Hörmander, The existence of the wave operators in scattering theory, Preprint (1975), University of Lund. Zbl0319.35059MR393884
  10. [10] J.W. Milnor, Morse theory, Princeton University Press, Princeton, New Jersey. Zbl0108.10401
  11. [11] L. Schwartz, Cours d'Analyse de l'École Polytechnique, Tome 1. Zbl0171.01301

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