The Mathematics of Superoscillations Paperback / softback
by Y. Aharonov, F. Colombo, I. Sabadini, D.C. Struppa, J. Tollaksen
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:107 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2017
- Category:
- ISBN:9781470423247
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:107 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2017
- Category:
- ISBN:9781470423247
