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

Authors

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

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Issue

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

Article ID

SPP-2006-PA-35

Section

Poster Session PA

Published

2006-10-25

How to Cite

[1]

A Villanueva, HB Domingo, and E Galapon, Born series solution of the time kernel equation and quantum mechanical derivation of the anharmonic oscillator classical time of arrival, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-PA-35 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-PA-35.