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SUMMARY:Hilbert-Schmidt operators vs. elliptic Calogero-Moser type systems
  - Ruijsenaars\, S (Leeds/Loughborough)
DTSTART:20090629T090000Z
DTEND:20090629T100000Z
UID:TALK18987@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This talk is concerned with elliptic Calogero-Moser quantum N-
 particle systems of nonrelativistic and relativistic type\, associated wit
 h the Lie algebras A_{N-1} and BC_N. We outline various results from our o
 ngoing programme to obtain suitable orthonormal joint eigenvector bases of
  the commuting Hamiltonians by employing special Hilbert-Schmidt operators
 . The integral kernels of the latter involve elliptic gamma functions in t
 he relativistic (difference) case\, and powers of theta functions in the n
 onrelativistic (differential) case.
LOCATION:Seminar Room 1\, Newton Institute
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