fuzzy geometry of commutative spaces and quantum dynamics

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ID: 224342
2016
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Abstract
Fuzzy topology and geometry considered as the possible mathematical framework for novel quantum-mechanical formalism. In such formalism the states of massive particle m correspond to the elements of fuzzy manifold called fuzzy points. Due to the manifold weak topology, m space coordinate x acquires principal uncertainty σx and described by the positive, normalized density w(r→ ${\rm{\vec r}}$, t) in 3-dimensional case. It’s shown that the evolution of m state on such 3-dimensional manifold corresponds to Shroedinger dynamics of massive quantum particle.
Reference Key
s.n.2016epjfuzzy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Mayburov S.N.
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Journal utilitas mathematica
Year 2016
DOI
10.1051/epjconf/201612605009
URL
http://dx.doi.org/10.1051/epjconf/201612605009
Keywords
physics

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