• Corpus ID: 208853625

Classical/Quantum=Commutative/Noncommutative?

@article{Kisil2012ClassicalQuantumCommutativeNoncommut,
  title={Classical/Quantum=Commutative/Noncommutative?},
  author={V. W. Kisil'},
  journal={arXiv: Quantum Physics},
  year={2012}
}
  • V. Kisil'
  • Published 9 April 2012
  • Physics
  • arXiv: Quantum Physics
In 1926, Dirac stated that quantum mechanics can be obtained from classical theory through a change in the only rule. In his view, classical mechanics is formulated through commutative quantities (c-numbers) while quantum mechanics requires noncommutative one (q-numbers). The rest of theory can be unchanged. In this paper we critically review Dirac's proposition. We provide a natural formulation of classical mechanics through noncommutative quantities with a non-zero Planck constant. This is… 
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