Semiclassical limit of the diffusion amplitude

Didier Robert; H. Tamura

Journées équations aux dérivées partielles (1988)

  • page 1-9
  • ISSN: 0752-0360

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Robert, Didier, and Tamura, H.. "Limite semi-classique de l'amplitude de diffusion." Journées équations aux dérivées partielles (1988): 1-9. <http://eudml.org/doc/93168>.

@article{Robert1988,
author = {Robert, Didier, Tamura, H.},
journal = {Journées équations aux dérivées partielles},
keywords = {semiclassical limit; diffusion amplitude; Schrödinger equation},
language = {fre},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {Limite semi-classique de l'amplitude de diffusion},
url = {http://eudml.org/doc/93168},
year = {1988},
}

TY - JOUR
AU - Robert, Didier
AU - Tamura, H.
TI - Limite semi-classique de l'amplitude de diffusion
JO - Journées équations aux dérivées partielles
PY - 1988
PB - Ecole polytechnique
SP - 1
EP - 9
LA - fre
KW - semiclassical limit; diffusion amplitude; Schrödinger equation
UR - http://eudml.org/doc/93168
ER -

References

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  1. [Ge — Ma — Ro] C. Gérard — A. Martinez — D. RobertBreit-Wigner formulas for the scattering phase and the total scattering cross sections in the semi-classical limit. Preprint. Zbl0704.35114
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  3. [Is-Ki] H. Isozaki — H. KitadaScattering matrices for two body Schrödinger operators-Papers College Arts Sci. Univ. Tokyo 35 (1985) 81 - 107 Zbl0615.35065
  4. [Pr] Yu N ProtasQuasiclassical asymptotics of the scattering amplitude for the scattering of a plane wave by inhomogeneities of the medium - Math. USSR Sbornik. Vol. 45 (1983) n° 4 - 487 - 507 Zbl0549.35101
  5. [Si] B. SimonWave operators for Classical Particle Scattering Comm. Math. Phys. 23, 37 - 48 (1971) Zbl0238.70012MR45 #3967
  6. [Ro-Ta]1 D. Robert - H. TamuraSemi-classical estimates for resolvents and asymptotics for total scattering cross-sections. Ann. I.H.P. Physique Théorique vol. 46 n° 4. 1987. p. 415-442. Zbl0648.35066MR89b:81041
  7. [Ro-Ta]2 D. Robert - H. TamuraAsymptotic behaviour of Scattering Amplitudes in Semi-classical and Low Energy Limits. Preprint Nagoya and Nantes Universities - To appear - Zbl0699.35201
  8. [Re-Si] M. Reed - B. SimonMethods of modern mathematical physics III scattering theory. Academic Press 1979 Zbl0405.47007MR80m:81085
  9. [Ya] K. YajimaThe quasi-classical limit of scattering amplitude - L2 - approach for short range potentials. Japan J. Math. 13 (1987) 77-126 Zbl0648.35067MR88i:35129
  10. [Va] BR VainbergQuasi classical approximation in stationary scattering problems. Func. Anal. Appl. 11 (1977) Zbl0413.35025

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