Quantum corrections to the classical time of arrival for linear potentials

Authors

Anthony Villanueva ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Using gaussian wavepackets, we investigate the expectation value < T > ofthe time of arrival operator T for a linear potential. An asymptotic series for < T > is obtained as ℏ → 0, such that the zeroth order term reduces to the classical time of arrival. We interpret this asymptotic series for < T > as quantum correction terms to the classical time of arrival.

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Issue

2011: Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress

Celebrating new ideas in physics
24-26 October 2011, University of the Philippines Diliman, Quezon City

Article ID

SPP2011-5A-1

Section

Theoretical and Computational Physics

Published

2011-10-24

How to Cite

[1]

A Villanueva and E Galapon, Quantum corrections to the classical time of arrival for linear potentials, Proceedings of the Samahang Pisika ng Pilipinas 29, SPP2011-5A-1 (2011). URL: https://proceedings.spp-online.org/article/view/SPP2011-5A-1.