Conservation laws for a $q$-deformed nonrelativistic particle

• URL: http://arxiv.org/abs/2103.03356v1
• Date: Sat, 13 Feb 2021 12:13:35 GMT
• Title: Conservation laws for a $q$-deformed nonrelativistic particle
• Authors: Hartmut Wachter
• Abstract summary: We derive $q$-versions of Green's theorem from the Leibniz rules of partial derivatives for the $q$-deformed Euclidean space. We derive continuity equations for the probability density, the energy density, and the momentum density of a $q$-deformed nonrelativistic particle.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive $q$-versions of Green's theorem from the Leibniz rules of partial derivatives for the $q$-deformed Euclidean space. Using these results and the Schr\"{o}dinger equations for a $q$-deformed nonrelativistic particle, we derive continuity equations for the probability density, the energy density, and the momentum density of a $q$-deformed nonrelativistic particle.

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