Propagation estimates for N-body Stark hamiltonians

Tadayoshi Adachi

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 4, page 409-428
  • ISSN: 0246-0211

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Adachi, Tadayoshi. "Propagation estimates for N-body Stark hamiltonians." Annales de l'I.H.P. Physique théorique 62.4 (1995): 409-428. <http://eudml.org/doc/76682>.

@article{Adachi1995,
author = {Adachi, Tadayoshi},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {-body problem; Stark Hamiltonian; propagation estimates},
language = {eng},
number = {4},
pages = {409-428},
publisher = {Gauthier-Villars},
title = {Propagation estimates for N-body Stark hamiltonians},
url = {http://eudml.org/doc/76682},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Adachi, Tadayoshi
TI - Propagation estimates for N-body Stark hamiltonians
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 4
SP - 409
EP - 428
LA - eng
KW - -body problem; Stark Hamiltonian; propagation estimates
UR - http://eudml.org/doc/76682
ER -

References

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  2. [AT1] T. Adachi and H. Tamura, Asymptotic completeness for long-range many-particle systems with Stark Effect, to appear in J. Math. Sci., The Univ. of Tokyo. Zbl0843.35086MR1348023
  3. [AT2] T. Adachi and H. Tamura, Asymptotic completeness for long-range many-particle systems with Stark Effect, II, to appear in Commun. Math Phys. Zbl0849.35112MR1370080
  4. [D] J. Dereziński, Asymptotic completeness of long-range N-body quantum systems, Ann. of Math., Vol. 138, 1993, pp. 427-476. Zbl0844.47005MR1240577
  5. [G] C. Gérard, Sharp propagation estimates for N-particle systems, Duke Math. J., Vol. 67, 1992, pp. 483-515. Zbl0760.35049MR1181310
  6. [Gr1] G.M. Graf, Asymptotic completeness for N-body short-range quantum systems: a new proof, Commun. Math. Phys., Vol. 132, 1990, pp. 73-101. Zbl0726.35096MR1069201
  7. [Gr2] G.M. Graf, A Remark on long-range Stark scattering, Helv. Phys. Acta., Vol.64, 1991, pp. 1167-1174. MR1149436
  8. [HeSj] B. Helffer and J. Sjöstrand, Equation de Schrödinger avec champ magnétique et équation de Harper, Lecture Notes in Physics345, Springer-Verlag, 1989, pp. 118-197. Zbl0699.35189MR1037319
  9. [HMS 1] I.W. Herbst, J.S. Møller and E. Skibsted, Spectral analysis of N-body Stark Hamiltonians, Preprint, 1994. Zbl0846.35095
  10. [HMS2] I.W. Herbst, J.S. Møller and E. Skibsted, Asymptotic completeness for N-body Stark Hamiltonians, to appear in Commun. Math Phys. Zbl0846.35096MR1370079
  11. [JO] A. Jensen and T. Ozawa, Existence and non-existence results for wave operators for perturbations of the Laplacian, Rev. Math. Phys., Vol. 5, 1993, pp. 601-629. Zbl0831.35145MR1240736
  12. [JY] A. Jensen and K. Yajima, On the long-range scattering for Stark Hamiltonians, J. Reine Angew. Math., Vol. 420, 1991, pp. 179-193. Zbl0736.35077MR1124570
  13. [RW] D. Robert and X.P. Wang, Existence of time-delay operators for Stark Hamiltonians, Commun. Partial Differ. Eqs., Vol. 14, 1989, pp. 63-98. Zbl0677.35080MR973270
  14. [SS] I.M. Sigal and A. Soffer, The N-particle scattering problem: asymptotic completeness for short-range systems, Ann. of Math., Vol. 125, 1987, pp. 35-108. Zbl0646.47009MR898052
  15. [Sk] E. Skibsted, Propagation estimates for N-body Schroedinger operators, Commun. Math. Phys., Vol. 142, 1991, pp. 67-98. Zbl0760.35035MR1137775
  16. [W1] D. White, The Stark effect and long-range scattering in two Hilbert spaces, Indiana Univ. Math. J., Vol. 39, 1990, pp. 517-546. Zbl0695.35144MR1089052
  17. [W2] D. White, Modified wave operators and Stark Hamiltonians, Duke Math. J., Vol. 68, 1992, pp. 83-100. Zbl0766.35033MR1185819
  18. [Z] L. Zielinski, A Proof of asymptotic completeness for N-body Schrödinger operators, Comm. Partial Differ. Eqs., Vol. 19, 1994, pp. 455-522. Zbl0812.35118MR1265807

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