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Fuzzy Space-Time and Phase Space Structure as approach to
Nonrelativistic Quantization
S. Mayburov
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).
- oai_identifier:
- oai:arXiv.org:quant-ph/0609056
- categories:
- quant-ph
- comments:
- Latex, 15 pages, Talk given on 'Foundations of Physics and
Computations' Conference, Udine, 2004)
- arxiv_id:
- quant-ph/0609056
- journal_ref:
- Proc.Steklov Inst.Math. 245 (2004) 154
- created:
- 2006-09-07
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