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Price distribution over 68 days • 1 price levels

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Most common price: £74 (68 days, 100.0%)

Price range: £74 - £74

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Description

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 Schrodinger equation and other equations.

Product Specifications

Format: paperback
ASIN: 1470423243
Category: Books > Subjects > Science, Nature & Maths > Physics > Mathematical
Domain: Amazon UK
Release Date: 30 May 2017
Listed Since: 17 February 2017

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The Mathematics of Superoscillations (Memoirs of the American Mathematical Society)

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It has never been this cheap. We have no record of a lower price.

The Mathematics of Superoscillations (Memoirs of the American Mathematical Society)

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