Wigner Measures in Noncommutative Quantum Mechanics Export

@article{citeulike:5287335, abstract = {We study the properties of quasi-distributions or Wigner measures in the context of noncommutative quantum mechanics. In particular, we obtain necessary and sufficient conditions for a phase-space function to be a noncommutative Wigner measure, for a Gaussian to be a noncommutative Wigner measure, and derive certain properties of the marginal distributions which are not shared by ordinary Wigner measures. Moreover, we derive the Robertson-Schr\"odinger uncertainty principle. Finally, we show explicitly how the set of noncommutative Wigner measures relates to the sets of Liouville and (commutative) Wigner measures.}, archivePrefix = {arXiv}, author = {Bastos, C. and Dias, N. C. and Prata, J. N.}, citeulike-article-id = {5287335}, citeulike-linkout-0 = {http://arxiv.org/abs/0907.4438}, citeulike-linkout-1 = {http://arxiv.org/pdf/0907.4438}, day = {25}, eprint = {0907.4438}, keywords = {math-ph, noncommutative-quantum-mechanics, wigner-measure}, month = {Jul}, posted-at = {2009-07-28 06:51:16}, priority = {2}, title = {Wigner Measures in Noncommutative Quantum Mechanics}, url = {http://arxiv.org/abs/0907.4438}, year = {2009} }

TY - JOUR ID - citeulike:5287335 L3 - citeulike-article-id:5287335 N2 - We study the properties of quasi-distributions or Wigner measures in the context of noncommutative quantum mechanics. In particular, we obtain necessary and sufficient conditions for a phase-space function to be a noncommutative Wigner measure, for a Gaussian to be a noncommutative Wigner measure, and derive certain properties of the marginal distributions which are not shared by ordinary Wigner measures. Moreover, we derive the Robertson-Schr\"odinger uncertainty principle. Finally, we show explicitly how the set of noncommutative Wigner measures relates to the sets of Liouville and (commutative) Wigner measures. TI - Wigner Measures in Noncommutative Quantum Mechanics KW - math-ph KW - noncommutative-quantum-mechanics KW - wigner-measure AU - Bastos, C AU - Dias, NC AU - Prata, JN PY - 2009/Jul/25/ UR - http://arxiv.org/abs/0907.4438 ER -