XXXVIII Workshop on Geometric Methods in Physics | 30.06-6.07.2019 |

VIII School on Geometry and Physics | 24-28.06.2019 |

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## Jaromir Tosiek## Phase space representation of a quantum particle with discrete internal degrees of freedom.The Weyl-Wigner-Moyal formalism for a quantum particle with discrete internal degrees of freedom is proposed. A one to one correspondence between operators in the Hilbert space $L^{2}(\mathbb{R}^{3})\otimes{\mathcal{H}}^{(s+1)}$ and functions on the discrete phase space $\mathbb{R}^{3}\times\mathbb{R}^{3}\times \{0,...,s\} \times\{0,...,s\}$ is presented. The expressions for the Stratonovich-Weyl quantizer, star product and Wigner functions of such systems are obtained. |

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University of Bialystok |

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