Spin Description in the Star Product and the Path Integral Formalism

Details Spin Description in the Star Product and the Path Integral Formalism Spin Description in the Star Product and the Path Integral Formalism

2007-05-24

arxiv.org/abs/0705.3601v1

Physics

Quantum Physics

14 pages

Scientific paper

10.1016/j.physleta.2007.10.035

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.

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