Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization
量子物理
2007-05-23 v1
摘要
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).
引用
@article{arxiv.quant-ph/0609056,
title = {Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization},
author = {S. Mayburov},
journal= {arXiv preprint arXiv:quant-ph/0609056},
year = {2007}
}
备注
Latex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)