Fuzzy Phase Space Structure as Approach to Quantization

S. Mayburov

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arXiv · hep-th/0210113

Fuzzy Phase Space Structure as Approach to Quantization

S. Mayburov

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Abstract

Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's $m$ state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate $x$ acquires principal uncertainty $σ_x$. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.

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S. Mayburov. 2002-10-11. Fuzzy Phase Space Structure as Approach to Quantization. https://arxiv.org/abs/hep-th/0210113

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