Physics – Quantum Physics
Scientific paper
2006-09-07
Proc.Steklov Inst.Math. 245 (2004) 154
Physics
Quantum Physics
Latex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)
Scientific paper
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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