Complétude asymptotique pour un modèle du transfert de charge

Lech Zielinski

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 4, page 363-411
  • ISSN: 0246-0211

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Zielinski, Lech. "Complétude asymptotique pour un modèle du transfert de charge." Annales de l'I.H.P. Physique théorique 58.4 (1993): 363-411. <http://eudml.org/doc/76611>.

@article{Zielinski1993,
author = {Zielinski, Lech},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {time-dependent Hamiltonian; approximation to the multi-particle quantum problem},
language = {fre},
number = {4},
pages = {363-411},
publisher = {Gauthier-Villars},
title = {Complétude asymptotique pour un modèle du transfert de charge},
url = {http://eudml.org/doc/76611},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Zielinski, Lech
TI - Complétude asymptotique pour un modèle du transfert de charge
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 4
SP - 363
EP - 411
LA - fre
KW - time-dependent Hamiltonian; approximation to the multi-particle quantum problem
UR - http://eudml.org/doc/76611
ER -

References

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  1. [1] A.-M. Berthier-Boutet de Monvel, Spectral Theory and Wave Operators for the Schrôdinger Equation, Research Notes in Math., vol. 71, Pitman, 1982, p. 1-306. Zbl0484.35002
  2. [2] V. Enss, Asymptotic Completeness for Quantum-mechanical Potential Scattering, Singular and Long-range Potentials, Ann. Phys., vol. 119, 1979, p. 117-132. Zbl0408.47009MR535624
  3. [3] V. Enss, Completeness of Three-Body Quantum Scattering, dans Dynamics and Processes P. BLANCHARD, L. STREIT, éd., Lecture Notes in Mathematics, vol. 1031, 1983, Springer, Berlin, Heidelberg, New York, p. 62-88. Zbl0531.47009MR733643
  4. [4] G.M. Graf, Phase Space Analysis of the Charge Transfer Model, Helv. Phys. Acta, vol. 63, 1990, p. 107-138. Zbl0741.35050MR1045931
  5. [5] G.M. Graf, Asymptotic Completeness for N-body Short-range Systems: a New Proof, Comm. Math. Phys., vol. 132, 1991, p. 77-104. Zbl0726.35096MR1069201
  6. [6] G.A. Hagedorn, Asymptotic Completeness for the Impact Parameter Approximation to the Three Particle Scattering, Ann. Inst. H. Poincaré, vol. A36, 1982, p. 19-40. Zbl0482.47003MR653016
  7. [7] L. Hörmander, The Analysis of Linear Partial Differential Operators, vol. 3, 4, 1985, Springer, Berlin, Heidelberg, New York, Tokyo. Zbl0601.35001MR404822
  8. [8] H. Kitada et K. Yajima, A Scattering Theory for Time Dependent Long Range Potentials, Duke Math. J., vol. 49, 1982, p. 1005-1016. Zbl0499.35087MR659945
  9. [9] I.M. Sigal, On the Long-range Scattering, preprint, université de Toronto, 1988. MR937519
  10. [10] I.M. Sigal et A. Soffer, The N-particle Scattering Problem : Asymptotic Completeness for Short-range Systems, Annals Math., vol. 125, 1987, p. 35-108. Zbl0646.47009MR898052
  11. [11] U. Wüller, Asymptotische Vollstândigkeit beim Charge-Transfer-Modell, Thèse de doctorat, Berlin, 1988. Zbl0702.35193
  12. [12] K. Yajima, A Multi-channel Scattering Theory for Some Time Dependent Hamiltonians, Charge Transfer Problem, Comm. Math. Phys., vol. 75, 1980, p. 153-178. Zbl0437.47008MR582506

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