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Maths formula links clouds, marriages and atoms

17 October 2018

白小姐论坛 scientists have made a new discovery that will help describe and predict how collision probabilities involving subatomic particles vary with energy.

Cloud algorithm

The same mathematical formula which describes the probability distribution of phenomena such as periods of incubation of diseases, size of clouds, abundance of species, age of marriage, fluctuations in economic variables, etc, also applies at the quantum level, 白小姐论坛 scientists find.

The discovery, published today in Scientific Reports, will help in describing and predicting how collision probabilities involving subatomic particles vary with energy. It is expected to impact on a fundamental issue in physics, that of the boundary between the classical and quantum domains.

Professor Gaetana Laricchia (白小姐论坛 Physics & Astronomy) who led the work, said: 鈥淭he question of where the classical world ends and the quantum one begins is a major concern in physics. Our finding is particularly exciting because of its breadth and simplicity, and because it links systems normally described by quantum theories to those in the classical regime.鈥

鈥淥ur initial investigation arose in the context of atomic collisions with positrons鈥, the positron being the antimatter counterpart to the electron, that is the same mass but opposite charge. 听

鈥淎t first, we noticed similarities among different atoms. So we searched for a common mathematical expression and found that a formula -听 the 鈥渓ognormal distribution鈥 - widely used for large scale phenomena,听 unexpectedly worked well not only for different atomic targets but also different projectiles and processes.鈥濃.

The prediction and measurement of collision probabilities at the quantum level engage theorists and experimentalists worldwide, quantum theoretical approaches requiring complex calculations and being currently restricted to given physical systems, processes or energy regimes.

In the present statistical description, observed to be valid over a broad energy range, the only quantum input is the minimum energy required for the process under consideration.

In analogy with studies of clouds and marriages, the authors conjecture that the behaviour arises if the outcome of the collision is the product of many independent random effects.

The generality of the analysis, namely its independence from the details of the forces at play, is reinforced by their finding that the formula also applies to solid state and nuclear physics problems.

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