Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Resonance Free Regions in Magnetic Scattering by Two Solenoidal Fields at Large Separation
 

Summary: Resonance Free Regions in Magnetic Scattering
by Two Solenoidal Fields at Large Separation
Ivana Alexandrova
124 Austin Building, Department of Mathematics
East Carolina University, Greenville, NC 27858, USA
and
Hideo Tamura
Department of Mathematics, Okayama University
Okayama, 7008530, Japan
Abstract
We consider the problem of quantum resonances in magnetic scattering by two
solenoidal fields at large separation in two dimensions. This system has trapped tra-
jectories oscillating between two centers of the fields. We give a sharp lower bound
on resonance widths when the distance between the two centers goes to infinity. The
bound is described in terms of backward amplitudes calculated explicitly for scattering
by each solenoidal field. The study is based on a new type of complex scaling method.
As an application, we also discuss the relation to semiclassical resonances in scattering
by two solenoidal fields.
Running Head : Resonances for scattering by solenoidal fields
Keywords : Resonances; magnetic scattering; solenoidal fields; Aharonov-Bohm effect.

  

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

 

Collections: Mathematics