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q-Deformed Schrödinger Equation

Mircea Micu
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Abstract

We found hermitian realizations of the position vector $\vec{r}$, angular momentum $\vecΛ$ and linear momentum $\vec{p}$ behaving like vectors with respect to the $SU_q(2)$ algebra, generated by $L_0$ and $L_\pm$. They are used to write the $q$ deformed Schrödinger equation, whose solution for Coulomb and oscillator potential are briefly discussed.

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Mircea Micu. 1997-03-13. q-Deformed Schrödinger Equation. https://arxiv.org/abs/q-alg/9703026

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