2009/10/09 by V. A. Andreev, Margarita A. Man’ko, Andreev, V. A. +14
Medicine · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Medical Imaging Techniques and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.0910.1693
14 pages, to appear in Journal of Russian Laser Research
arxiv created 2009/10/09 · openalex publication_date 2009/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.