Tomographic probability representation for quantum fermion fields
Quantum Physics
2009-10-12 v1
Abstract
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.
Cite
@article{arxiv.0910.1693,
title = {Tomographic probability representation for quantum fermion fields},
author = {V. A. Andreev and M. A. Man'ko and V. I. Man'ko and Nguyen Hung Son and Nguyen Cong Thanh and Yu. P. Timofeev and S. D. Zakharov},
journal= {arXiv preprint arXiv:0910.1693},
year = {2009}
}
Comments
14 pages, to appear in Journal of Russian Laser Research