start-ver=1.4
cd-journal=joma
no-vol=53
cd-vols=
no-issue=1
article-no=
start-page=1
end-page=37
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2011
dt-pub=201101
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=ASYMPTOTIC ANALYSIS FOR GREEN FUNCTIONS OF AHARONOV-BOHM HAMILTONIAN WITH APPLICATION TO RESONANCE WIDTHS IN MAGNETIC SCATTERING
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=The Aharonov?Bohm Hamiltonian is the energy operator which governs quantum particles moving in a solenoidal field in two dimensions. We analyze asymptotic properties of its Green function with spectral parameters in the unphysical sheet. As an application, we discuss
the lower bound on resonance widths for scattering by two magnetic fields with compact supports at large separation. The bound is evaluated in terms of backward scattering amplitudes by a single magnetic field. A special emphasis is placed on analyzing how a trajectory oscillating between two magnetic fields gives rise to resonances near the real axis, as the distance between two supports goes to infinity. We also refer to the relation to the semiclassical resonance theory for scattering
by two solenoidal fields.
en-copyright=
kn-copyright=

en-aut-name=TamuraHideo
en-aut-sei=Tamura
en-aut-mei=Hideo
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Mathematics, Okayama University
en-keyword=Aharonov-Bohm Hamiltonian
kn-keyword=Aharonov-Bohm Hamiltonian
en-keyword=Green function
kn-keyword=Green function
en-keyword=magnetic Schr?dinger operator
kn-keyword=magnetic Schr?dinger operator
en-keyword=scattering amplitude
kn-keyword=scattering amplitude
en-keyword=resonance width
kn-keyword=resonance width
END