dorsal/arxiv
View SchemaFuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization
| Authors | S. Mayburov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609056 |
| URL | https://arxiv.org/abs/quant-ph/0609056 |
| Journal | Proc.Steklov Inst.Math. 245 (2004) 154 |
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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"abstract": "Quantum Space-Time and Phase Space with fuzzy geometric structure are studied\nas possible formalism for quantization of massive particles and fields. In this\napproach the state of nonrelativistic particle m described by the fuzzy point\nof fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m\ncoordinate x principal uncertainty is generic in this ansatz. It\u0027s shown that\nin 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral\nformalism of Quantum Mechanics (QM).",
"arxiv_id": "quant-ph/0609056",
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"S. Mayburov"
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"journal_ref": "Proc.Steklov Inst.Math. 245 (2004) 154",
"title": "Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization",
"url": "https://arxiv.org/abs/quant-ph/0609056"
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