Abstract
Tomographic probability representation is introduced for fermion fields. The states of the fermions are mapped onto the 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 the star-product of the fermionic symbols. The kernel of the star-product is obtained. The antisymmetry of the fermion states is formulated as a specific symmetry property of the tomographic joint probability distribution associated with the states.
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Andreev, V.A., Man’ko, M.A., Man’ko, V.I. et al. Tomographic probability representation for quantum fermion fields. J Russ Laser Res 30, 591–598 (2009). https://doi.org/10.1007/s10946-009-9113-y
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DOI: https://doi.org/10.1007/s10946-009-9113-y