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arXiv · 2412.03543

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions

Pavlos Kassotakis·Theodoros Kouloukas·Maciej Nieszporski
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Abstract

We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the ${\mathbb Z}^2$ graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.

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Pavlos Kassotakis, Theodoros Kouloukas, Maciej Nieszporski. 2024-12-04. Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions. https://arxiv.org/abs/2412.03543

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