Time-decay of scattering solutions and classical trajectories

Xue-Ping Wang

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 47, Issue: 1, page 25-37
  • ISSN: 0246-0211

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Wang, Xue-Ping. "Time-decay of scattering solutions and classical trajectories." Annales de l'I.H.P. Physique théorique 47.1 (1987): 25-37. <http://eudml.org/doc/76370>.

@article{Wang1987,
author = {Wang, Xue-Ping},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {time-decay; scattering solutions; semiclassical Schrödinger equation; non trapping condition; parametrices},
language = {eng},
number = {1},
pages = {25-37},
publisher = {Gauthier-Villars},
title = {Time-decay of scattering solutions and classical trajectories},
url = {http://eudml.org/doc/76370},
volume = {47},
year = {1987},
}

TY - JOUR
AU - Wang, Xue-Ping
TI - Time-decay of scattering solutions and classical trajectories
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 47
IS - 1
SP - 25
EP - 37
LA - eng
KW - time-decay; scattering solutions; semiclassical Schrödinger equation; non trapping condition; parametrices
UR - http://eudml.org/doc/76370
ER -

References

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  1. [1] B. Helffer, D. Robert, Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. J. Funct. Analysis, t. 53, 1983, p. 246-268. Zbl0524.35103MR724029
  2. [2] H. Isozaki, H. Kitada, Modified wave operators with time-independent modifiers. J. Fac. Sci. Univ. Tokyo, t. 32, 1985, p. 77-104. Zbl0582.35036MR783182
  3. [3] M. Reed, B. Simon, Method of Modern Mathematical Physics, IV. Acad. Press, New York, 1978. Zbl0401.47001MR751959
  4. [4] D. Robert, H. Tamura, Semiclassical estimates for resolvents and asymptotics for total scattering cross section, preprint. Zbl0648.35066
  5. [5] X.-P. Wang, Étude semiclassique d'observables quantiques. Ann. Fac. Sci. (Toulouse), t. 7, 1985, p. 101-135. Zbl0597.35028MR842765
  6. [6] X.-P. Wang, Approximation semiclassique de l'équation de Heisenberg. Comm. Math. Phys., t. 104, 1986, p. 77-86. Zbl0611.35085MR834482
  7. [7] X.-P. Wang, Time-decay of scattering solutions and resolvent smoothness for semi-classical Schrödinger operators, to appear in J. of Diff. Equations. 

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