ADIABATIC LIMIT AND SCATTERING

Authors
MARTINEZ A NAKAMURA S
Citation
A. Martinez et S. Nakamura, ADIABATIC LIMIT AND SCATTERING, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(12), 1994, pp. 1153-1158
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
12
Year of publication
1994
Pages
1153 - 1158
Database
ISI
SICI code
0764-4442(1994)318:12<1153:ALAS>2.0.ZU;2-G
Abstract
We consider the scattering operator associated to adiabatic time-depen dent Hamiltonians. Under decay assumptions at infinity on the potentia l, we show that this scattering operator admits (in some weak sense) a n expansion in powers of the adiabatic parameter, up to some order rel ated to the rate of decay of the potential.