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A q-Deformed Schrödinger Equation

M. Micu
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Abstract

We found hermitian realizations of the position vector $\vec{r}$, the angular momentum $\vecΛ$ and the linear momentum $\vec{p}$, all behaving like vectors under the $su_q(2)$ algebra, generated by $L_0$ and $L_\pm$. They are used to introduce a $q$-deformed Schr\" odinger equation. Its solutions for the particular cases of the Coulomb and the harmonic oscillator potentials are given and briefly discussed.

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M. Micu. 1999-04-14. A q-Deformed Schrödinger Equation. https://doi.org/10.1088/0305-4470%2F32%2F44%2F312

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