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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Wiener-Hopf factorisation on the unit circle: some
examples of discrete scattering problems - Basant
Lal Sharma ()
DTSTART;TZID=Europe/London:20190812T160000
DTEND;TZID=Europe/London:20190812T163000
UID:TALK128374AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128374
DESCRIPTION:I will provide certain examples of scattering prob
lems\, motivated by lattice waves (phonons)\, elec
tronic waves under certain assumptions\, nanoscale
effects\, etc in crystals. The mathematical formu
lation is posed on lattices and involves differenc
e equations that can be reduced to the problem of
Wiener-Hopf on the unit circle (in an annulus in c
omplex plane). In some of these examples\, the Wie
ner-Hopf \; problem is scalar\, while in other
cases it is a matrix Wiener-Hopf problem. For the
latter\, in a few cases it may be reduced to a sc
alar problem but it appears to be not the case in
others. Some of these problems can be considered a
s discrete analogues of well-known Wiener-Hopf equ
ations in continuum models on the real line (in an
strip in complex plane)\, a few of which are stil
l open problems.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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