Dispersive Quantization
نویسنده
چکیده
The evolution, through linear dispersion, of piecewise constant periodic initial data leads to surprising quantized structures at rational times, and fractal, nondifferentiable profiles at irrational times. Similar phenomena have been observed in optics and quantum mechanics, and lead to intriguing connections with exponential sums arising in number theory. Ramifications of these observations for numerics and nonlinear dispersion are proposed as open problems.
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 117 شماره
صفحات -
تاریخ انتشار 2010