Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

THE new quantum mechanics predicts 1 that both the rotational and vibrational quantum numbers in band spectra should have half-integral values. Numerous examples of half-integral rotational quantum ...

In 2020 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 that I ...

Researchers at the DOE’s Brookhaven National Laboratory in the United States have found that a coating of magnesium enhances the characteristics of tantalum, a superconducting material with a lot of ...

Imaginary numbers might seem like unicorns and goblins — interesting but irrelevant to reality. But for describing matter at its roots, imaginary numbers turn out to be essential. They seem to be ...

Chenyu Zhou, a research associate in the Center for Functional Nanomaterials (CFN) at Brookhaven National Laboratory and first author on the study, with Mingzhao Liu (CFN), Yimei Zhu (CMPMS), and ...

Quantum physicist Vlatko Vedral proposes a radical new vision of reality, one in which observers don’t exist, there are no ...