Semiclassical limit of the diffusion amplitude

Didier Robert; H. Tamura

Journées équations aux dérivées partielles (1988)

  • page 1-9
  • ISSN: 0752-0360

How to cite

top

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

top
  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
  2. [Hu] HunzikerThe S-matrix in classical mechanics Comm. Math. Phys. 8, 282-299 (1968) Zbl0159.55001
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.