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SUMMARY:Wiener-Hopf factorisation on the unit circle: some examples of dis
 crete scattering problems - Basant Lal  Sharma ()
DTSTART:20190812T150000Z
DTEND:20190812T153000Z
UID:TALK128374@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will provide certain examples of scattering problems\, motiv
 ated by lattice waves (phonons)\, electronic waves under certain assumptio
 ns\, nanoscale effects\, etc in crystals. The mathematical formulation is 
 posed on lattices and involves difference equations that can be reduced to
  the problem of Wiener-Hopf on the unit circle (in an annulus in complex p
 lane). In some of these examples\, the Wiener-Hopf&nbsp\; problem is scala
 r\, while in other cases it is a matrix Wiener-Hopf problem. For the latte
 r\, in a few cases it may be reduced to a scalar problem but it appears to
  be not the case in others. Some of these problems can be considered as di
 screte analogues of well-known Wiener-Hopf equations in continuum models o
 n the real line (in an strip in complex plane)\, a few of which are still 
 open problems.
LOCATION:Seminar Room 1\, Newton Institute
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