XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

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
University of Bialystok






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