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math.QA2024
Tutorial on one-dimensional -Fourier transforms
Hartmut Wachter
This paper is an introductory text to the theory of -deformed Fourier transforms, as first discussed by Rogov and Olshanetsky. We derive the well-known results in detail, presen…
math.QA2021
Conservation laws for a -deformed nonrelativistic particle
Hartmut Wachter
We derive -versions of Green's theorem from the Leibniz rules of partial derivatives for the -deformed Euclidean space. Using these results and the Schrödinger equations for…