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Asymptotic completeness of multiparticle scattering

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Differential Equations and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

Supported by NSF Grant No. DMS8507040

Weizmann Fellow of Mathematics and Physics

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References

  1. S. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations, Math. Notes, Princeton Univ. Press, 1982.

    Google Scholar 

  2. H. Cycon, R. Froese, W. Kirsch and B. Simon, Lectures on the Schrödinger Equation (to appear).

    Google Scholar 

  3. P. Deift and B. Simon, Comm. Pure Appl. Math 30 (1977), 573–583.

    Article  MathSciNet  Google Scholar 

  4. P. Deift, W. Hunziker, B. Simon and E. Vock, Comm. Math. Phys. 64 (1978), 1–34.

    Article  MathSciNet  Google Scholar 

  5. V. Enss, Comm. Math. Phys. 52 (1977), 233–238.

    Article  MathSciNet  Google Scholar 

  6. V. Enss, Comm. Math. Phys. 61 (1978), 285–291.

    Article  MathSciNet  Google Scholar 

  7. V. Enss, J. Funct. Anal. 52 (1983), 219–268.

    Article  MathSciNet  Google Scholar 

  8. V. Enss, in: Differential Equations, I.W. Knowles and R.T. Lewis, eds., North Holland Math. Studies 92 (1984), 173–204.

    Google Scholar 

  9. V. Enss, Physica 124 A (1984), 269–292.

    Article  MathSciNet  Google Scholar 

  10. V. Enss, in: Proceedings of the Como Summer School on the Schrödinger Equation, Como 1984 (to be published).

    Google Scholar 

  11. R. Froese and I. Herbst, Duke Math. J. 49 (1982), 1975.

    Article  MathSciNet  Google Scholar 

  12. J. Ginibre, in: “Schrödinger Equation”, W. Thirring and P. Urban, eds., Springer-Verlag, 1977.

    Google Scholar 

  13. T. Kato, Math. Anal. 162 (1966), 258–279.

    Article  Google Scholar 

  14. T. Kato, Studio Math xxxi (1968), 535–546.

    Google Scholar 

  15. R. Lavine, Proc. AMS 22 (1969), 55–60.

    MathSciNet  Google Scholar 

  16. R. Lavine, J. Funct. Anal. 5 (1970), 368–382.

    Article  MathSciNet  Google Scholar 

  17. R. Lavine, Math. Phys. 20 (1971), 301–323.

    Article  MathSciNet  Google Scholar 

  18. R. Lavine, Indiana Univ. Math. J. 21 (1972), 643–656.

    Article  MathSciNet  Google Scholar 

  19. R. Lavine, J. Funct. Anal. 12 (1973), 30–54.

    Article  MathSciNet  Google Scholar 

  20. R. Lavine, J. Math. Phys. 14 (1973), 376–379.

    Article  MathSciNet  Google Scholar 

  21. R. Lavine, in: Scattering Theory in Mathematical Physics, J.A. Lavita and J.-P. Marchard, eds., D. Reidel Publ. Co.

    Google Scholar 

  22. E. Mourre, Comm. Math. Phys. 78 (1981), 391–408.

    Article  MathSciNet  Google Scholar 

  23. E. Mourre, Comm. Math. Phys. 91 (1983), 279–300.

    Article  MathSciNet  Google Scholar 

  24. E. Mourre, Preprint, Marseille 1983.

    Google Scholar 

  25. P. Perry, I.M. Sigal and B. Simon, Ann. of Math. 144 (1981), 519–567.

    Article  MathSciNet  Google Scholar 

  26. M. Reed and B. Simon, Methods of Modern Mathematical Physics III, Academic Press.

    Google Scholar 

  27. I.M. Sigal, Comm. Math. Phys. 85 (1982), 309–324.

    Article  MathSciNet  Google Scholar 

  28. I.M. Sigal, Scattering Theory for Many-Body Quantum Mechanical Systems, Springer Lecture Notes in Math. N1011, 1983.

    Google Scholar 

  29. I.M. Sigal and A. Soffer, Bulletin AMS 14 N1 (1986).

    Google Scholar 

  30. I.M. Sigal and A. Soffer, preprint 1985.

    Google Scholar 

  31. I.M. Sigal and A. Soffer, in preparation.

    Google Scholar 

  32. B. Simon, Comm. Math. Phys. 55 (1977), 259–274.

    Article  MathSciNet  Google Scholar 

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Ian W. Knowles Yoshimi Saitō

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© 1987 Springer-Verlag

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Sigal, I.M., Soffer, A. (1987). Asymptotic completeness of multiparticle scattering. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080623

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  • DOI: https://doi.org/10.1007/BFb0080623

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

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