Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits

Didier Robert; H. Tamura

Annales de l'institut Fourier (1989)

  • Volume: 39, Issue: 1, page 155-192
  • ISSN: 0373-0956

Abstract

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We study the semi-classical asymptotic behavior as ( h → 0 ) of scattering amplitudes for Schrödinger operators - ( 1 / 2 ) h 2 Δ + V . The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.

How to cite

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Robert, Didier, and Tamura, H.. "Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits." Annales de l'institut Fourier 39.1 (1989): 155-192. <http://eudml.org/doc/74822>.

@article{Robert1989,
abstract = {We study the semi-classical asymptotic behavior as $(h\rightarrow 0)$ of scattering amplitudes for Schrödinger operators $-(1/2)h^2\Delta +V$. The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.},
author = {Robert, Didier, Tamura, H.},
journal = {Annales de l'institut Fourier},
keywords = {semi-classical asymptotic behavior; scattering amplitudes; Schrödinger operators; non-trapping energy range; low energy behavior},
language = {eng},
number = {1},
pages = {155-192},
publisher = {Association des Annales de l'Institut Fourier},
title = {Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits},
url = {http://eudml.org/doc/74822},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Robert, Didier
AU - Tamura, H.
TI - Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 1
SP - 155
EP - 192
AB - We study the semi-classical asymptotic behavior as $(h\rightarrow 0)$ of scattering amplitudes for Schrödinger operators $-(1/2)h^2\Delta +V$. The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.
LA - eng
KW - semi-classical asymptotic behavior; scattering amplitudes; Schrödinger operators; non-trapping energy range; low energy behavior
UR - http://eudml.org/doc/74822
ER -

References

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