A q-Deformed Schr\"odinger Equation
Abstract
We found hermitian realizations of the position vector r, the angular momentum and the linear momentum p, all behaving like vectors under the suq(2) algebra, generated by L0 and L. 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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