Uncertainty Relations in Deformation Quantization
Quantum Algebra
2008-11-26 v2 Mathematical Physics
math.MP
Quantum Physics
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-Schr\"odinger and trace uncertainty relations in deformation quantization are found. Some conditions under which the uncertainty relations are minimized are also given.
Keywords
Cite
@article{arxiv.math/0207181,
title = {Uncertainty Relations in Deformation Quantization},
author = {M. Przanowski and F. J. Turrubiates},
journal= {arXiv preprint arXiv:math/0207181},
year = {2008}
}
Comments
28+1 pages, harvmac file, no figures, typos corrected