Uncertainty Relations and Wave Packets on the Quantum Plane
Quantum Algebra
2007-05-23 v1
Abstract
(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.
Cite
@article{arxiv.math/9808031,
title = {Uncertainty Relations and Wave Packets on the Quantum Plane},
author = {H. Ahmedov and I. H. Duru},
journal= {arXiv preprint arXiv:math/9808031},
year = {2007}
}
Comments
Latex, 17 pages