Spin Description in the Star Product and the Path Integral Formalism
arXiv:0705.3601 · doi:10.1016/j.physleta.2007.10.035
Abstract
The spin can be described in the star product formalism by extending the bosonic Moyal product in the fermionic sector. The fermionic star product is then the Clifford product of geometric algebra and it is possible to formulate the fermionic star product formalism in analogy to the bosonic star product formalism. For the fermionic star product description of spin, one can then establish the relation to other approaches that describe spin with fermionic variables, i.e. the operator formalism and the path integral formalism. It is shown that the fermionic star product formalism and the fermionic path integral formalism are related in analogy to their bosonic counterparts.
14 pages
References in corpus (9)
- Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space
- The Construction of Spinors in Geometric Algebra
- Cliffordization, Spin and Fermionic Star Products
- Star Products and Geometric Algebra
- Weyl-Wigner-Moyal Formalism for Fermi Classical Systems
- Autonomous generation of all Wigner functions and marginal probability densities of Landau levels
- Coadjoint Orbits, Spin and Dequantization
- Deformed Geometric Algebra and Supersymmetric Quantum Mechanics
- Spin Observables and Path Integrals