On the q-Deformed Hamiltonian Mechanics
P. Caban, A. Dobrosielski, A. Krajewska, Z. Walczak
TL;DR
This paper introduces a $q$-deformed phase space and derives the corresponding Hamilton equations, exploring their properties through simple models to extend classical mechanics into a $q$-deformed framework.
Contribution
It presents the formulation of $q$-deformed Hamiltonian mechanics and derives the equations of motion within this new framework.
Findings
Derived $q$-deformed Hamilton equations of motion
Analyzed simple models within the $q$-deformed phase space
Extended classical mechanics concepts into a $q$-deformed setting
Abstract
We described the -deformed phase space. The -deformed Hamilton eqations of motion are derived and discussed. Some simple models are considered.
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