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Kempf-2004g

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Article

Title Unusual properties of superoscillating particles
Author Achim Kempf, Paulo J S G Ferreira
Journal Journal of Physics A: Mathematical and General
Volume 37
Number
Pages 12067-12076
Month
Year 2004
DOI [1]
Group
Group (before 2015) Signal Processing Laboratory
Indexed by ISI Yes

Abstract

It has been found that differentiable functions can locally oscillate on length scales that are much smaller than the smallest wave length contained in their Fourier spectrum. This phenomenon has been called superoscillation. Here, we consider the case of superoscillations in quantum mechanical wave functions. We find that superoscillations in wave functions lead to unusual phenomena that are of measurement theoretic, thermodynamic and information theoretic interest.