2012/12/31 by Stanisław Mrówczyński, Stanislaw Mrowczynski
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #advanced mathematical theories #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.87.065026
published as Physical Review D87, 065026 (2013) · 9 pages, no figures
openalex publication_date 2013/03/26 · arxiv created 2013/04/03 · arxiv updated 2013/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Wigner function, which provides a phase-space description of quantum systems, has various applications in quantum mechanics, quantum kinetic theory, quantum optics, radiation transport and others. The concept of the Wigner function has been extended to quantum fields, scalar and electromagnetic. Then, one deals with the Wigner functional which gives a distribution of field and its conjugate momentum. We introduce here the Wigner functional of fermionic fields of the values in a Grassmann algebra. Properties of the functional are discussed and its equation of motion, which is of the Liouville form, is derived.