It takes the average reader 1 hour and 49 minutes to read The Mathematics of Superoscillations by Yakir Aharonov
Assuming a reading speed of 250 words per minute. Learn more
In the past 50 years, quantum physicists have discovered, and experimentally demonstrated, a phenomenon which they termed superoscillations. Aharonov and his collaborators showed that superoscillations naturally arise when dealing with weak values, a notion that provides a fundamentally different way to regard measurements in quantum physics. From a mathematical point of view, superoscillating functions are a superposition of small Fourier components with a bounded Fourier spectrum, which result, when appropriately summed, in a shift that can be arbitrarily large, and well outside the spectrum. The purpose of this work is twofold: on one hand the authors provide a self-contained survey of the existing literature, in order to offer a systematic mathematical approach to superoscillations; on the other hand, they obtain some new and unexpected results, by showing that superoscillating sequences can be seen of as solutions to a large class of convolution equations and can therefore be treated within the theory of analytically uniform spaces. In particular, the authors will also discuss the persistence of the superoscillatory behavior when superoscillating sequences are taken as initial values of the Schrödinger equation and other equations.
The Mathematics of Superoscillations by Yakir Aharonov is 107 pages long, and a total of 27,499 words.
This makes it 36% the length of the average book. It also has 34% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 30 minutes to read The Mathematics of Superoscillations aloud.
The Mathematics of Superoscillations is suitable for students ages 10 and up.
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