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arXiv · 1910.02283

Momentum and Position Representations for the q-deformed Euclidean Quantum Space

Hartmut Wachter
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Abstract

We summarize some basics about mathematical tools of analysis for the q-deformed Euclidean space. We use the new tools to examine q-deformed eigenfunctions of the momentum or position operator within the framework of the star product formalism. We show that these two systems of functions are complete and orthonormal. With the q-deformed momentum or position eigenfunctions, we calculate matrix elements of the momentum or position operator. Considerations about expectation values and probability densities conclude the studies.

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Hartmut Wachter. 2019-10-05. Momentum and Position Representations for the q-deformed Euclidean Quantum Space. https://arxiv.org/abs/1910.02283

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