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Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization

S. Mayburov
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Abstract

Quantum Space-Time and Phase Space with fuzzy geometric structure are studied as possible formalism for quantization of massive particles and fields. In this approach the state of nonrelativistic particle m described by the fuzzy point of fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m coordinate x principal uncertainty is generic in this ansatz. It's shown that in 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral formalism of Quantum Mechanics (QM).

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S. Mayburov. 2006-09-07. Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization. https://arxiv.org/abs/quant-ph/0609056

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