Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field
 

Summary: Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential
Operators and Scattering in a Strong Magnetic Field
Ivana Alexandrova
1400 Washington Avenue, Earth Sciences 110, Department of Mathematics and Statistics,
State University of New York, Albany, NY 12222, 518-437-4489, ialexandrova@albany.edu
Abstract
We study the microlocal structure of the semi-classical scattering amplitude for
Schršodinger operators with a strong magnetic and a strong electric fields at non-
trapping energies. We prove that the leading term of the scattering amplitude can
be approximated by a semi-classical-Fourier-integral-operator-valued pseudodifferen-
tial operator.
1 Introduction
We consider the scattering amplitude for a Schršodinger operator with a strong magnetic
and a strong electric fields and we prove that the leading term of the scattering amplitude
can be approximated by a semi-classical-Fourier-integral-operator-valued pseudodifferential
operator.
For n 3 and b > 0 let H(b) = H0(b) + bV, where the electric potential V satisfies
V = V (x, y, z) = V
(z) + W (x, y, z), W C
c (Rn

  

Source: Alexandrova, Ivana - Department of Mathematics and Statistics, State University of New York at Albany

 

Collections: Mathematics