Quantization on a 2-dimensional phase space with a constant curvature tensor

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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33 pages, LaTeX, Annals of Physics (2003)

Scientific paper

10.1016/S0003-4916(03)00094-0

Some properties of the star product of the Weyl type (i.e. associated with
the Weyl ordering) are proved. Fedosov construction of the *-product on a
2-dimensional phase spacewith a constant curvature tensor is presented.
Eigenvalue equations for momentum p and position q on a 2-dimensional phase
space with constant curvature tensors are solved.

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