Asymptotic completeness of N -body systems

Jean Derezinski

Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992)

  • page 1-11

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Derezinski, Jean. "Asymptotic completeness of $N$-body systems." Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992): 1-11. <http://eudml.org/doc/112028>.

@article{Derezinski1991-1992,
author = {Derezinski, Jean},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {properties of classical and quantum scattering},
language = {eng},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Asymptotic completeness of $N$-body systems},
url = {http://eudml.org/doc/112028},
year = {1991-1992},
}

TY - JOUR
AU - Derezinski, Jean
TI - Asymptotic completeness of $N$-body systems
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1991-1992
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - eng
KW - properties of classical and quantum scattering
UR - http://eudml.org/doc/112028
ER -

References

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  1. [A] S. Agmon, Lectures on the Exponential Decay of Solutions of Second Order Elliptic Equations, Princeton University Press, 1982. Zbl0503.35001MR745286
  2. [Del] J. Dereziński, "Algebraic approach to the N-body long range scattering", Rev. Math. Phys.3 (1991) 1-62. Zbl0726.34071MR1110555
  3. [De2] J. Dereziński, "Asymptotic completeness of N-body long range quantum scattering", preprint, Ecole Polytechnique. 
  4. [De3] J. Dereziński, "Large time behavior of classical N-body systems ", preprint, Ecole Polytechnique. Zbl0764.70004MR1181068
  5. [E1] V. Enss, "Quantum scattering theory of two- and three-body systems with potentials of short and long range", in Schrödinger Operators, S.Graffi (ed.), Lecture Notes in Mathematics, Vol. 1159, Springer, Berlin-Heidelberg -New York, 1985. Zbl0585.35023MR824987
  6. [E2] V. Enss, "Two- and three-body quantum scattering: completeness revisited", Proceedings of the "Conference on Partial Differential Equations ", Teubner-Texte zur Mathematik, Leipzig and B.-W. Schulze (eds), 1989. Zbl0699.35215MR1105802
  7. [Graf] G.M. Graf, "Asymptotic completeness for N-body short range systems: a new proof", Comm. Math. Phys.132 (1990) 73-101. Zbl0726.35096MR1069201
  8. [He] I. Herbst, "Classical scattering with long range forces ", Comm. Math. Phys.35 (1974) 194-214. Zbl0309.70011MR351326
  9. [Hö] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol 1,2 (1983) and Vol. 3,4 (1985), Springer, Berlin-Heidelberg- New York-Tokyo. Zbl0521.35001
  10. [RS] M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. III: Scattering Theory, 1979 and vol. IV: Analysis of Operators, 1978, Academic Press, London. [SigSof1] I.M. Sigal and A. Soffer, "The N-particle scattering problem: Asymptotic completeness for short range systems", Anal. Math.125 (1987) 35-108. Zbl0405.47007MR529429
  11. [SigSof2] I.M. Sigal and A. Soffer, "Asymptotic completeness for four-body Coulolllb systems", preprint 1991. 
  12. [Sim] B. Simon, Wave operators for classical particle scattering, Comm. Math. Phys.23 (1971) 37-48. Zbl0238.70012MR294899
  13. [Ya] D.R. Yafaev, "Radiation conditions and scattering theory for three-particle Hamiltonians", preprint, Univ. de Nantes1991. Zbl0795.58009MR1221368

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