Wigner distributions in quantum mechanics

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Abstract

The Weyl-Wigner description of quantum mechanical operators and states in classical phase-space language is well known for Cartesian systems. We describe a new approach based on ideas of Dirac which leads to the same results but with interesting additional insights. A way to set up Wigner distributions in an interesting non-Cartesian case, when the configuration space is a compact connected Lie group, is outlined. Both these methods are adapted to quantum systems with finite-dimensional Hilbert spaces, and the results are contrasted. © 2007 IOP Publishing Ltd.

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Ercolessi, E., Marmo, G., Morandi, G., & Mukunda, N. (2007). Wigner distributions in quantum mechanics. Journal of Physics: Conference Series, 87(1). https://doi.org/10.1088/1742-6596/87/1/012010

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