Quantum Mechanics on a Noncommutative Brane in M(atrix) Theory

Details Quantum Mechanics on a Noncommutative Brane in M(atrix) Theory Quantum Mechanics on a Noncommutative Brane in M(atrix) Theory

2000-08-02

arxiv.org/abs/hep-th/0008027v2

Phys.Lett. B505 (2001) 249-254

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, report number changed, references added, 9 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)00338-0

We consider the quantum mechanics of a particle on a noncommutative
two-sphere with the coordinates obeying an SU(2)-algebra. The momentum operator
can be constructed in terms of an $SU(2)\times SU(2)$-extension and the
Heisenberg algebra recovered in the smooth manifold limit. Similar
considerations apply to the more general SU(n) case.

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