Distorted plane waves for the 3 body Schrodinger operator

Authors
Citation
A. Hassell, Distorted plane waves for the 3 body Schrodinger operator, GEO FUNCT A, 10(1), 2000, pp. 1-50
Citations number
38
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X → ACNP
Volume
10
Issue
1
Year of publication
2000
Pages
1 - 50
Database
ISI
SICI code
1016-443X(2000)10:1<1:DPWFT3>2.0.ZU;2-#
Abstract
Distorted plane waves, incoming in the free region, are constructed for gen eralized 3 body Schrodinger operators on R-N, under the assumption that the 'two-body' potential functions are rapidly decreasing. The construction yi elds the form of the complete asymptotic expansion of the plane waves at in finity away from the collision planes, and gives an explicit construction a nd geometric characterization of the singularities of the free channel scat tering matrix.