Complex numbers - Open Access .click

American Journal of Physics, 2020
Complex numbers are broadly used in physics, normally as a calculation tool that makes things easier due to Euler's formula. In the end, it is only the real component that has physical meaning or the two parts (real and imaginary) are treated separately ...
R. Karam
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Anti-commutative Dual Complex Numbers and 2D Rigid Transformation

arXiv.org, 2016
We introduce a new presentation of the two dimensional rigid transformation which is more concise and efficient than the standard matrix presentation. By modifying the ordinary dual number construction for the complex numbers, we define the ring of anti ...
Genki Matsuda, S. Kaji, Hiroyuki Ochiai
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The new electromagnetic tetrads, infinite tetrad nesting and the non trivial emergence of complex numbers in real theories of gravitation.

, 2017
How complex numbers get into play in a non-trivial way in real theories of gravitation is relevant since in a unified structure they should be able to relate in a natural way with quantum theories....
A. Garat
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On the Fourier transform of Bessel functions over complex numbers—I: the spherical case

, 2016
In this note, we prove a formula for the Fourier transform of spherical Bessel functions over complex numbers, viewed as the complex analogue of the classical formulae of Hardy and Weber. The formula has strong representation theoretic motivations in the
Zhi Qi
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