SCATTERING FOR SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS

Authors
DEMUTH M OUHABAZ EM
Citation
M. Demuth et Em. Ouhabaz, SCATTERING FOR SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS, Mathematische Nachrichten, 185, 1997, pp. 49-58
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
185
Year of publication
1997
Pages
49 - 58
Database
ISI
SICI code
0025-584X(1997)185:<49:SFSWM>2.0.ZU;2-O
Abstract
We study the existence and completeness of the wave operators W+/-(A(b ), -Delta) for general Schrodinger operators of the form A(b) = -(N) S igma(k,j=1) (D-j - ib(j))a(kj)(D-k - ib(k)) + (N) Sigma(k=1) [a(k)(D-k - ib(k)) - (D-k - ib(k))a(k)] + c where b = (b(1),...,b(N)) is a magn etic potential.