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Classical and Quantum Correlation Functions for a Ring Model

Quantum Physics 2021-07-06 v1 Mathematical Physics math.MP

Abstract

Classical and quantum correlation functions are derived for a system of non-interacting particles moving on a circle. It is shown that the decaying behaviour of the classical expression for the correlation function can be recovered from the strictly periodic quantum mechanical expression by taking the limit that the Planck's constant goes to zero, after an appropriate transformation.

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Cite

@article{arxiv.2107.01932,
  title  = {Classical and Quantum Correlation Functions for a Ring Model},
  author = {B. Buck and C. V. Sukumar},
  journal= {arXiv preprint arXiv:2107.01932},
  year   = {2021}
}

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8 pages