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Star Products and Geometric Algebra
The formalism of geometric algebra can be described as deformed super
analysis. The deformation is done with a fermionic star product, that arises
from deformation quantization of pseudoclassical mechanics. If one then extends
the deformation to the bosonic coefficient part of superanalysis one obtains
quantum mechanics for systems with spin. This approach clarifies on the one
hand the relation between Grassmann and Clifford structures in geometric
algebra and on the other hand the relation between classical mechanics and
quantum mechanics. Moreover it gives a formalism that allows to handle
classical and quantum mechanics in a consistent manner.Comment: 21 page
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