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Uncertainty Relations in Deformation Quantization

M. Przanowski·F. J. Turrubiates
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Abstract

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.

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M. Przanowski, F. J. Turrubiates. 2002-07-23. Uncertainty Relations in Deformation Quantization. https://doi.org/10.1088/0305-4470%2F35%2F49%2F312

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