arXiv 2103.033562021-03math.QAmath-phmath.MPquant-ph

Conservation laws for a $q$-deformed nonrelativistic particle

Hartmut Wachter

备注：: 34 pages. arXiv admin note: text overlap with arXiv:2010.08826

英文摘要：

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 Schrödinger 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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