Lund, 22nd - 24th January 2004
Quantum Ergodicity - Basic Ideas and Recent Developments
Quantum spectral properties of graphs with spin
Jon Harrison (Berlin)
We compare the quantisations of compact mixing graphs with the Dirac and
Schrödinger operators. Terms in a diagramatic expansion of the spectral
form factors are related by averages over the group of
spin transformations. In random matrix theory the power series
expansions of the COE and CSE form factors are closely related. The same
relation is derived for quantum graphs with time-reversal symmetry
provided the spin transformations on the graph quantised with the Dirac
operator generate an irreducible quaternionic representation.
Slides (gzipped postscript-file)
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Last modified: Jan 28 2004
Stefan Keppeler
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