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arXiv:0905.1365 · Modern Physics Letters A

EXTENDED FEYNMAN FORMULA FOR THE HARMONIC OSCILLATOR BY THE DISCRETE TIME METHOD

KUNIO FUNAHASHI

Published Jan 30, 2010• 0 citations
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Abstract

We revisit the extended Feynman formula for the harmonic oscillator beyond and at caustics. The extension has been made by some authors, however, it is not obtained by the discrete formulation of path integral, which we consider the most reliable regularization of it. We derive the result by, especially at caustics, more rigorous method than previous.

DOI
10.1142/s0217732310032457

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We revisit the extended Feynman formula for the harmonic oscillator beyond and at caustics. The extension has been made by some authors, however, it is not obtained by the discrete formulation of path integral, which we consider the most reliable regularization of it. We derive the result by, especially at caustics, more rigorous method than previous.
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