Tomographic probability representation for quantum fermion fields

Details Tomographic probability representation for quantum fermion fields Tomographic probability representation for quantum fermion fields

2009-10-09

arxiv.org/abs/0910.1693v1

Physics

Quantum Physics

14 pages, to appear in Journal of Russian Laser Research

Scientific paper

Tomographic probability representation is introduced for fermion fields. The states of the fermions are mapped onto probability distribution of discrete random variables (spin projections). The operators acting on the fermion states are described by fermionic tomographic symbols. The product of the operators acting on the fermion states is mapped onto star-product of the fermionic symbols. The kernel of the star-product is obtained. The antisymmetry of the fermion states is formulated as the specific symmetry property of the tomographic joint probability distribution associated with the states.

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