Correspondence principle as equivalence of categories

@article{Bolotin2015CorrespondencePA,
  title={Correspondence principle as equivalence of categories},
  author={A. Bolotin},
  journal={Quantum Studies: Mathematics and Foundations},
  year={2015},
  volume={4},
  pages={309-314}
}
  • A. Bolotin
  • Published 2015
  • Mathematics, Physics
  • Quantum Studies: Mathematics and Foundations
If quantum mechanics were to be applicable to macroscopic objects, classical mechanics would have to be a limiting case of quantum mechanics. Then the category Set that packages classical mechanics has to be in some sense a ‘limiting case’ of the category Hilb packaging quantum mechanics. Following from this assumption, quantum–classical correspondence can be considered as a mapping of the category Hilb to the category Set, i.e., a functor from Hilb to Set, taking place in the macroscopic limit… Expand
1 Citations
Examples of non-constructive proofs in quantum theory
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