English

Classical Fermionic Dynamics

Mathematical Physics 2015-06-05 v2 math.MP

Abstract

The formulation of classical mechanics applicable to fermionic degrees of freedom is presented in mathematically rigorous terms, including a description of how the mathematical structure relates to the quantization of the theory. Canonical transformations and the algebra of observables are defined and studied. A formula is given for the analog of the Poisson bracket. The quantization of the theory proceeds according to deformation quantization.

Keywords

Cite

@article{arxiv.1505.00237,
  title  = {Classical Fermionic Dynamics},
  author = {Luther Rinehart},
  journal= {arXiv preprint arXiv:1505.00237},
  year   = {2015}
}

Comments

Corrected typo equation 12

R2 v1 2026-06-22T09:26:44.470Z