Uncertainty Relations in Deformation Quantization
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Robertson and Hadamard-Robertson theorems on non-negative definite hermitian forms are generalized to an arbitrary ordered field. These results are then applied to the case of formal power series fields, and the Heisenberg-Robertson, Robertson-Schrödinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.
28+1 pages, harvmac file, no figures, typos corrected
28+1 pages, harvmac file, no figures, typos corrected