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Open Quantum Systems Decoherence Quantum Simulation

Spin Description in the Star Product and the Path Integral Formalism

arXiv

Authors: S. Odendahl, P. Henselder

Year

2007

Paper ID

50182

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

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.

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The spin can be described in the star product formalism by extending the bosonic Moyal product in the fermionic sector.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0705.3601 [2] arXiv https://arxiv.org/abs/0705.3601 [3] Publisher https://arxiv.org/abs/0705.3601

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