New channels in three-body long-range scattering

D. Yafaev

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-11

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Yafaev, D.. "New channels in three-body long-range scattering." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-11. <http://eudml.org/doc/112078>.

@article{Yafaev1993-1994,
author = {Yafaev, D.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {channels of scattering},
language = {eng},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {New channels in three-body long-range scattering},
url = {http://eudml.org/doc/112078},
year = {1993-1994},
}

TY - JOUR
AU - Yafaev, D.
TI - New channels in three-body long-range scattering
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - eng
KW - channels of scattering
UR - http://eudml.org/doc/112078
ER -

References

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  1. [1] L. Hörmander, The analysis of linear partial differential operators IV, Springer-Verlag, 1985. Zbl0612.35001MR781537
  2. [2] L.D. Faddeev, Mathematical Aspects of the Three Body Problem in Quantum Scattering Theory, Trudy MIAN69, 1963. (Russian) Zbl0131.43504MR163695
  3. [3] V. Enss, Completeness of three-body quantum scattering, in: Dynamics and processes, P. Blanchard and L. Streit, eds., Springer Lecture Notes in Math. 1031 (1983), 62-88. Zbl0531.47009MR733643
  4. [4] V. Enss, Quantum scattering theory of two-body and three-body systems with potentials of short and long range, in: Schrödinger operators, S. Graffi, ed., Springer Lecture Notes in Math. 1159 (1985), 39-176. Zbl0585.35023MR824987
  5. [5] V. Enss, Long-range scattering of two- and three-body quantum systems, in: Journées EDP, Saint Jean de Monts (1989), 1-31. Zbl0734.35069MR1030815
  6. [6] J. Dereziński, Asymptotic completeness of long-range quantum systems, Ann. Math.138 (1993), 427-473. Zbl0844.47005MR1240577
  7. [7] X.P. Wang, On the three body long range scattering problems, ReportsMath. Phys.25(1992), 267-276. Zbl0776.35045MR1188806
  8. [8] C. Gérard, Asymptotic completeness of 3-particle long-range systems, Invent. Math.114 (1993), 333-397. Zbl0812.70006MR1240642
  9. [9] D.R. Yafaev, On the break-down of completeness of wave operators in potential scattering, Comm. Math. Phys.65 (1979), 167-179. Zbl0401.47006MR528189
  10. [10] D.R. Yafaev, Wave operators for the Schrôdinger equation, Theor. Math. Phys.45 (1980), 224-234. (Russian) Zbl0458.35078MR604521
  11. [11] D.R. Yafaev, The low energy scattering for slowly decreasing potentials, Comm. Math. Phys.85 (1982), 177-196. Zbl0509.35065MR675998
  12. [12] M.S. Ashbaugh, E.M. Harrel, Perturbation theory for shape resonances and large barrier potentials, Comm. Math. Phys.83 (1982), 151-170. Zbl0494.34044MR649157

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