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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Asymptotic completeness of short-range many-body systems
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by I. M. Sigal and A. Soffer PDF
Bull. Amer. Math. Soc. 14 (1986), 107-110
References
  • P. Deift and B. Simon, A time-dependent approach to the completeness of multiparticle quantum systems, Comm. Pure Appl. Math. 30 (1977), no. 5, 573–583. MR 459397, DOI 10.1002/cpa.3160300504
    • [Enss] V. Enss, Proc. Como summer school on the Schrödinger equation, Como, 1984 (to appear).
  • P. Perry, I. M. Sigal, and B. Simon, Spectral analysis of $N$-body Schrödinger operators, Ann. of Math. (2) 114 (1981), no. 3, 519–567. MR 634428, DOI 10.2307/1971301
  • Michael Reed and Barry Simon, Methods of modern mathematical physics. I, 2nd ed., Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1980. Functional analysis. MR 751959
  • Israel Michael Sigal, Scattering theory for many-body quantum mechanical systems, Lecture Notes in Mathematics, vol. 1011, Springer-Verlag, Berlin, 1983. Rigorous results. MR 715786, DOI 10.1007/BFb0065391
    • [SigSof 1] I. M. Sigal and A. Soffer, preprint. [SigSof 2] I. M. Sigal and A. Soffer, in preparation.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 14 (1986), 107-110
  • MSC (1985): Primary 81F10; Secondary 81H05, 35P25, 47A40
  • DOI: https://doi.org/10.1090/S0273-0979-1986-15408-X
  • MathSciNet review: 818063