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q-Deformed Schr\"odinger Equation

q-alg 2008-02-03 v1 High Energy Physics - Theory Quantum Algebra

Abstract

We found hermitian realizations of the position vector r\vec{r}, angular momentum Λ\vec{\Lambda} and linear momentum p\vec{p} behaving like vectors with respect to the SUq(2)SU_q(2) algebra, generated by L0L_0 and L±L_\pm. They are used to write the qq deformed Schr\"odinger equation, whose solution for Coulomb and oscillator potential are briefly discussed.

Keywords

Cite

@article{arxiv.q-alg/9703026,
  title  = {q-Deformed Schr\"odinger Equation},
  author = {Mircea Micu},
  journal= {arXiv preprint arXiv:q-alg/9703026},
  year   = {2008}
}

Comments

12 pages, LATEX