English

Extended Feynman Formula for the Harmonic Oscillator by the Discrete Time Method

Quantum Physics 2010-03-04 v1

Abstract

We calculate the Feynman formula for the harmonic oscillator beyond and at caustics by the discrete formulation of path integral. The extension has been made by some authors, however, it is not obtained by the method which we consider the most reliable regularization of path integral. It is shown that this method leads to the result with, especially at caustics, more rigorous derivation than previous.

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Cite

@article{arxiv.0905.1365,
  title  = {Extended Feynman Formula for the Harmonic Oscillator by the Discrete Time Method},
  author = {Kunio Funahashi},
  journal= {arXiv preprint arXiv:0905.1365},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T12:59:55.601Z