On the Scattering Matrix for N-Particle Hamiltonians

D. Yafaev

Publications mathématiques et informatique de Rennes (1992-1993)

  • Issue: 1, page 1-14

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Yafaev, D.. "On the Scattering Matrix for N-Particle Hamiltonians." Publications mathématiques et informatique de Rennes (1992-1993): 1-14. <http://eudml.org/doc/274868>.

@article{Yafaev1992-1993,
author = {Yafaev, D.},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {asymptotic completeness; smooth perturbations},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {On the Scattering Matrix for N-Particle Hamiltonians},
url = {http://eudml.org/doc/274868},
year = {1992-1993},
}

TY - JOUR
AU - Yafaev, D.
TI - On the Scattering Matrix for N-Particle Hamiltonians
JO - Publications mathématiques et informatique de Rennes
PY - 1992-1993
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 1
SP - 1
EP - 14
LA - eng
KW - asymptotic completeness; smooth perturbations
UR - http://eudml.org/doc/274868
ER -

References

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  1. [1] I. M, Sigal and A. Soffer, The N-particle scattering problem: Asymptotic completeness for short-range systems, Ann. Math.126(1987), 35-108. Zbl0646.47009MR898052
  2. [2] G. M. Graf, Asymptotic completeness for N-body short-range quantum systems: A new proof, Comm. Math. Phys.132 (1990), 73-101. Zbl0726.35096MR1069201
  3. [3] D. R. Yafaev, Radiation conditions and scattering theory for N-particle Hamiltonians, Comm. Math. Phys.154 (1993), 523-554. Zbl0781.35048MR1224090
  4. [4] L. D. Faddeev, Mathematical Aspects of the Three Body Problem in Quantum Scattering Theory, Trudy MIAN69, 1963. (Russian) Zbl0131.43504MR163695
  5. [5] D. R. Yafaev, On the multichannel scattering theory in two spaces, Theor. Math. Phys.37 (1978), 867-874. MR514135
  6. [6] E. Mourre, Absence of singular spectrum for certain self-adjoint operators, Comm. Math. Phys.78 (1981), 391-400. Zbl0489.47010MR603501
  7. [7] P. Perry, I. M. Sigal and B. Simon, Spectral analysis of N-body Schrödinger operators, Ann. Math.144 (1981), 519-567. Zbl0477.35069MR634428
  8. [8] M. Sh. Birman and D. R. Yafaev, The general scheme in stationary scattering theory, Problemy Mat. Fiz.12(1987), 89-117. (Russian) MR923973
  9. [9] D. R. Yafaev, Mathematical Scattering Theory, Amer. Math. Soc, 1992. Zbl0761.47001

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