Quantum mechanics on space with SU(2) fuzziness

Abstract

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.

12 pages, no figs, LaTeX

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• Field theories on spaces with linear fuzziness
• Loop diagrams in space with SU(2) fuzziness
• Poisson structure on a space with linear SU(2) fuzziness
• TeV-photon paradox and space with SU(2) fuzziness

Cited by in corpus (8)

• Quantum Mechanics on SO(3) via Non-commutative Dual Variables
• Statistical mechanics of free particles on space with Lie type noncommutativity
• Closedness of orbits in a space with SU(2) Poisson structure
• Gauge theory on a space with linear Lie type fuzziness
• Dirac theory on a space with linear Lie type fuzziness
• Central force problem in space with SU(2) Poisson structure
• The similarity of attractive and repulsive forces on a lattice
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness