Shifted solution to the time kernel equation

Authors

  • Ralph Adrian E. Farrales ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The solution to the time kernel equation with the boundary conditions T(q,q) = q/2 and T(q,−q) = 0 correspond to the quantum time of arrival 𝒯TOAT(q,q'). Here, we investigate a different set of conditions, i.e., T(q,q) = q/2 and T(q,−q) = 2q, for some constant β. We show that these conditions correspond to the shifted solution 𝒯TOA + βH−1, where H is the Hamiltonian.

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Issue

Article ID

SPP-2021-PC-13

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-10-01

How to Cite

[1]
RAE Farrales and EA Galapon, Shifted solution to the time kernel equation, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-13 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-13.