Uncertainty Relations and Wave Packets on the Quantum Plane

Details Uncertainty Relations and Wave Packets on the Quantum Plane Uncertainty Relations and Wave Packets on the Quantum Plane

1998-08-06

arxiv.org/abs/math/9808031v1

Mathematics

Quantum Algebra

Latex, 17 pages

Scientific paper

(2+2)-dimensional quantum mechanical q-phase space which is the semi-direct product of the quantum plane E_q(2)/U(1) and its dual algebra e_q(2)/u(1) is constructed. Commutation and the resulting uncertainty relations are studied. ``Quantum mechanical q-Hamiltonian'' of the motion over the quantum plane is derived and the solution of the Schroedinger equation for the q-semiclassical motion governed by the expectation value of that Hamiltonian is solved.

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