Hamiltonian Systems on Quantum Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, LaTeX, no figures

Scientific paper

10.1088/0305-4470/31/20/016

In this paper we consider Hamiltonian systems on the quantum plane and we show that the set of Q-meromorphic Hamiltonians is a Virasoro algebra with central charge zero and the set of Hamiltonian derivations of the algebra of $Q$-analytic functions ${\cal A}_q$ with values in the algebra of $Q$-meromorphic functions ${\cal M}_q$ is the Lie algebra $sl(2,A_1(q)).$ Moreover we will show that any motion on a quantum space is associated with a quadratic Hamiltonian.

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