A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...
William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...
Complex numbers seem to have an almost mystical aura surrounding them. Perhaps it’s because of the terminology used for them – for example, they have a ‘real part’ and an ‘imaginary part’, and they ...
After reading the tutorial, I understand that Docker has the ability to switch between float64 and complex128. However, I am unsure of how to do this on Ubuntu 22.04. ii libpetsc-complex3.15:amd64 ...
Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...
Abstract: Complex numbers play an important role in engineering applications such as digital signal processing and image processing. To represent these numbers in binary, a “divide-and-conquer'” ...
Real and imaginary: The time-dependent Schrödinger equation formulated using complex numbers. (Courtesy: iStock/piranka) Complex numbers are essential to achieve the most accurate quantum-mechanical ...
The transition from real to complex numbers marked a significant shift in physics, particularly in quantum mechanics. Recent research has shown that using real numbers in quantum predictions leads to ...
An international team of researchers shows through a concrete theoretical experiment that the prediction by standard complex quantum theory cannot be expressed by its real counterpart and ratifies its ...