Born series solution of the time kernel equation and quantum mechanical derivation of the anharmonic oscillator classical time of arrival

Authors

  • Anthony Villanueva ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Herbert B. Domingo ⋅ PH National Institute of Physics, University of the Philippines Diliman and Department of Physical Sciences and Mathematics, University of the Philippines Manila
  • Eric Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

This paper discusses the formal solution of the time kernel equation for arbitrary continuous potentials using the Born series. We apply the results to the quartic potential, and recover from the formal solution the classical time of arrival.

SPP 2006 Proceedings Cover

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Published

2006-10-25

Issue

2006: Proceedings of the 24th Samahang Pisika ng Pilipinas National Physics Congress

Section

Poster Session PA

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How to Cite

[1]
“Born series solution of the time kernel equation and quantum mechanical derivation of the anharmonic oscillator classical time of arrival”, Proc. SPP, vol. 24, no. 1, p. SPP-2006-PA-35, Oct. 2006, Accessed: Apr. 10, 2026. [Online]. Available: https://proceedings.spp-online.org/article/view/SPP-2006-PA-35