Cliffordization, Spin and Fermionic Star Products
arXiv:quant-ph/0404168 · doi:10.1016/j.aop.2004.06.008
Abstract
Deformation quantization is a powerful tool for quantizing theories with bosonic and fermionic degrees of freedom. The star products involved generate the mathematical structures which have recently been used in attempts to analyze the algebraic properties of quantum field theory. In the context of quantum mechanics they provide a canonical quantization procedure for systems with either bosonic of fermionic degrees of freedom. We illustrate this procedure for a number a physical examples, including bosonic, fermionic and supersymmetric oscillators. We show how non-relativistic and relativistic particles with spin can be naturally described in this framework.
21 pages
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Cited by in corpus (8)
- On nonanticommutative N=2 sigma-models in two dimensions
- Geometric algebra techniques in flux compactifications
- Weyl-Wigner-Moyal Formalism for Fermi Classical Systems
- Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
- On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule
- Deformation Quantization of Fermi Fields
- Spin Description in the Star Product and the Path Integral Formalism
- Geometric Algebra and Star Products on the Phase Space