Quantum mechanics on space with SU(2) fuzziness

Details Quantum mechanics on space with SU(2) fuzziness Quantum mechanics on space with SU(2) fuzziness

2008-07-20

arxiv.org/abs/0807.3169v1

Eur.Phys.J.C60:489-494,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figs, LaTeX

Scientific paper

10.1140/epjc/s10052-009-0924-3

Quantum mechanics of models is considered which are constructed in spaces with Lie algebra type commutation relations between spatial coordinates. The case is specialized to that of the group SU(2), for which the formulation of the problem via the Euler parameterization is also presented. SU(2)-invariant systems are discussed, and the corresponding eigenvalue problem for the Hamiltonian is reduced to an ordinary differential equation, as it is the case with such models on commutative spaces.

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