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Researchers at the University of Amsterdam have applied a 40-year-old mathematical framework by Jean Écalle to effectively describe and unify quantum mechanical tunneling phenomena. Credit: SciTechDaily.com
Quantum mechanical effects such as radioactive decay, or more generally: ‘tunneling’, display intriguing mathematical patterns. Two researchers at the University of Amsterdam now show that a 40-year-old mathematical discovery can be used to fully encode and understand this structure.In the quantum world, processes can be separated into two distinct classes.
“Still, in this century-old problem, there was work left to be done,” says Alexander van Spaendonck, one of the authors of the new publication. “The descriptions of tunneling phenomena in quantum mechanics needed further unification – a framework in which all such phenomena could be described and investigated using a single mathematical structure.”
Marcel Vonk, the other author of the publication, explains: “Écalle’s original papers were lengthy – over 1000 pages all combined – highly technical, and only published in French. As a result, it took until the mid-2000s before a significant number of physicists started getting familiar with this ‘toolbox’ of resurgence. Originally, it was mostly applied to simple ‘toy models’, but of course, the tools were also tried on real-life quantum mechanics.
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