Directional Uncertainty Principle for Quaternion Fourier Transform
Rings and Algebras
2013-06-07 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
This paper derives a new directional uncertainty principle for quaternion valued functions subject to the quaternion Fourier transformation. This can be generalized to establish directional uncertainty principles in Clifford geometric algebras with quaternion subalgebras. We demonstrate this with the example of a directional spacetime algebra function uncertainty principle related to multivector wave packets.
Cite
@article{arxiv.1306.1276,
title = {Directional Uncertainty Principle for Quaternion Fourier Transform},
author = {Eckhard Hitzer},
journal= {arXiv preprint arXiv:1306.1276},
year = {2013}
}
Comments
14 pages