L.
Rogge
https://scigraph.springernature.com/explorer/license/
chapter
scattering theory
https://doi.org/10.1007/978-94-011-2436-2_11
false
chapters
en
mapping properties
potential
1992-01-01
theory
Schrödinger operators
range potential
long-range potential
wave operators
1992
energy
103-110
Mapping Properties of the Wave Operators in Scattering Theory
operators
properties
two-body Schrödinger operators
2022-05-20T07:42
We consider the (modified) wave operators for two-body Schrödinger operators with smooth long range potentials. The wave operators and the adjoint wave operators, both localized in energy, are shown to map a weighted L2-space into a slightly larger weighted L2-space. The scattering operator, localized in energy, is shown to be bounded on all the weighted L2-spaces.
978-94-010-5074-6
978-94-011-2436-2
Approximation by Solutions of Partial Differential Equations
doi
10.1007/978-94-011-2436-2_11
Mathematical Sciences
M.
Goldstein
W. K.
Hayman
A.
Jensen
Springer Nature - SN SciGraph project
B.
Fuglede
Haussmann
W.
Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg Ø, Denmark
Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg Ø, Denmark
Springer Nature
pub.1051231444
dimensions_id
Pure Mathematics