Berry phase and quantum structure

@article{Lyre2014BerryPA,
  title={Berry phase and quantum structure},
  author={H. Lyre},
  journal={Studies in History and Philosophy of Modern Physics},
  year={2014},
  volume={48},
  pages={45-51}
}
  • H. Lyre
  • Published 2014
  • Mathematics, Physics
  • Studies in History and Philosophy of Modern Physics
  • Abstract The paper aims to spell out the relevance of the Berry phase in view of the question what the minimal mathematical structure is that accounts for all observable quantum phenomena. The question is both of conceptual and of ontological interest. While common wisdom tells us that the quantum structure is represented by the structure of the projective Hilbert space, the appropriate structure rich enough to account for the Berry phase is the U(1) bundle over that projective space. The Berry… CONTINUE READING
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