Dispersive Quantization – the Talbot Effect

Host Institution:

La Trobe University

Title of Seminar:

Dispersive Quantization – the Talbot Effect

Speaker's Name:

Prof Peter J. Olver, University of Minnesota, USA

Speaker's Institution:

La Trobe University

Time and Date:

Tuesday 13 March 2012, 2:00pm (AEDT)

Seminar Abstract:

The evolution, through linear dispersion, of piecewise constant periodic initial data leads to surprising quantized structures at rational times, and fractal, non-differentiable profiles at irrational times.  Similar phenomena have been observed in optics and quantum mechanics, where it is known as the Talbot effect after an optical experiment by one of the founders of photography, and lead to intriguing connections with exponential sums arising in number theory.  Ramifications of these observations for linear and nonlinear wave models and numerics will be discussed.

Seminar Convenor:

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AGR IT support:

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