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
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|---|---|
| Authors | ;Mayburov S.N. |
| Journal | utilitas mathematica |
| Year | 2016 |
| DOI |
10.1051/epjconf/201612605009
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