q-Deformed Schrödinger Equation

1997/03/13 by Micu, Mircea
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9703026

Abstract

We found hermitian realizations of the position vector r, angular momentum Λ and linear momentum p behaving like vectors with respect to the SU_q(2) algebra, generated by L₀ and L_±. They are used to write the q deformed Schrödinger equation, whose solution for Coulomb and oscillator potential are briefly discussed.

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