A q-Deformed Schrödinger Equation
M. Micu
Abstract
We found hermitian realizations of the position vector r, the angular momentum Λ 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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