Shifted solution to the time kernel equation
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 𝒯TOA ∝ T(q,q'). Here, we investigate a different set of conditions, i.e., T(q,q) = q/2 and T(q,−q) = −2iβq, for some constant β. We show that these conditions correspond to the shifted solution 𝒯TOA + βℏH−1, where H is the Hamiltonian.
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Issue
Accelerating national progress via physics: From quantum to stellar and beyond
20-22 October 2021
Please visit the SPP2021 activity webpage for more information on this year's Physics Congress.