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Open Quantum Systems Decoherence Quantum Simulation

Monopole star products are non-alternative

arXiv

Authors: Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam, Thomas Strobl

Year

2016

Paper ID

42729

Status

Preprint

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~2 min

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Abstract

Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such systems cannot be alternative, i.e. their associator cannot be completely anti-symmetric.

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Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.08359 [2] arXiv https://arxiv.org/abs/1610.08359 [3] Publisher https://arxiv.org/abs/1610.08359

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