Quantum mechanical effects such as radioactive decay, or more generally: 'tunneling', display intriguing mathematical patterns. Researchers now show that a 40-year-old mathematical discovery can be used to fully encode and understand this structure.
Quantum mechanical effects such as radioactive decay, or more generally: 'tunneling', display intriguing mathematical patterns. Researchers now show that a 40-year-old mathematical discovery can be used to fully encode and understand this structure.
Surprisingly, such a structure was found in 40-year-old mathematics. In the 1980s, French mathematician Jean Écalle had set up a framework that he dubbed, and that had precisely this goal: giving structure to nonperturbative phenomena.
With this mathematical structure completely clarified, the next question is of course where the new lessons can be applied and what physicists can learn from them. In the case of radioactivity, for example, some atoms are stable whereas others decay. In other physical models, the lists of stable and unstable particles may vary as one slightly changes the setup -- a phenomenon known as 'wall-crossing'.
Physics Spintronics Quantum Computing Quantum Computers Spintronics Research Computers And Internet Mathematics
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